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Finding the Fourth Proportional to 602,947.20, 903,643.20 and 462,007.20

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Solution

The fourth proportional to 602,947.20, 903,643.20 and 462,007.20 is: 692,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,947.20 : 903,643.20 = 462,007.20 : x
  2. Step 2: Convert to fraction form
    602,947.20/903,643.20 = 462,007.20/x
  3. Step 3: Cross multiply
    602,947.20x = 903,643.20 × 462,007.20
  4. Step 4: Simplify right side
    602,947.20x = 417,489,664,631.04
  5. Step 5: Solve for x
    x = 417,489,664,631.04/602,947.20
  6. Step 6: Final answer
    x = 692,414.97

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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.