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Finding the Fourth Proportional to 456,003.60, 684,005.40 and 232,054.80

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Solution

The fourth proportional to 456,003.60, 684,005.40 and 232,054.80 is: 348,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,003.60 : 684,005.40 = 232,054.80 : x
  2. Step 2: Convert to fraction form
    456,003.60/684,005.40 = 232,054.80/x
  3. Step 3: Cross multiply
    456,003.60x = 684,005.40 × 232,054.80
  4. Step 4: Simplify right side
    456,003.60x = 158,726,736,295.92
  5. Step 5: Solve for x
    x = 158,726,736,295.92/456,003.60
  6. Step 6: Final answer
    x = 348,082.20

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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.