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Finding the Fourth Proportional to 517,411.06, 776,116.80 and 232,769.14

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Solution

The fourth proportional to 517,411.06, 776,116.80 and 232,769.14 is: 349,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,411.06 : 776,116.80 = 232,769.14 : x
  2. Step 2: Convert to fraction form
    517,411.06/776,116.80 = 232,769.14/x
  3. Step 3: Cross multiply
    517,411.06x = 776,116.80 × 232,769.14
  4. Step 4: Simplify right side
    517,411.06x = 180,656,040,075.55
  5. Step 5: Solve for x
    x = 180,656,040,075.55/517,411.06
  6. Step 6: Final answer
    x = 349,153.80

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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.