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Finding the Fourth Proportional to 517,410.06, 776,115.30 and 232,768.14

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Solution

The fourth proportional to 517,410.06, 776,115.30 and 232,768.14 is: 349,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,410.06 : 776,115.30 = 232,768.14 : x
  2. Step 2: Convert to fraction form
    517,410.06/776,115.30 = 232,768.14/x
  3. Step 3: Cross multiply
    517,410.06x = 776,115.30 × 232,768.14
  4. Step 4: Simplify right side
    517,410.06x = 180,654,914,806.54
  5. Step 5: Solve for x
    x = 180,654,914,806.54/517,410.06
  6. Step 6: Final answer
    x = 349,152.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.