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Finding the Fourth Proportional to 539,463.14, 744,406.13 and 297,730.10

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Solution

The fourth proportional to 539,463.14, 744,406.13 and 297,730.10 is: 410,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,463.14 : 744,406.13 = 297,730.10 : x
  2. Step 2: Convert to fraction form
    539,463.14/744,406.13 = 297,730.10/x
  3. Step 3: Cross multiply
    539,463.14x = 744,406.13 × 297,730.10
  4. Step 4: Simplify right side
    539,463.14x = 221,632,111,525.51
  5. Step 5: Solve for x
    x = 221,632,111,525.51/539,463.14
  6. Step 6: Final answer
    x = 410,838.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.