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Finding the Fourth Proportional to 334,813.47, 502,220.21 and 147,787.71

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Solution

The fourth proportional to 334,813.47, 502,220.21 and 147,787.71 is: 221,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,813.47 : 502,220.21 = 147,787.71 : x
  2. Step 2: Convert to fraction form
    334,813.47/502,220.21 = 147,787.71/x
  3. Step 3: Cross multiply
    334,813.47x = 502,220.21 × 147,787.71
  4. Step 4: Simplify right side
    334,813.47x = 74,221,974,012.68
  5. Step 5: Solve for x
    x = 74,221,974,012.68/334,813.47
  6. Step 6: Final answer
    x = 221,681.57

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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.