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Finding the Fourth Proportional to 742,168.13, 1,024,193.99 and 402,636.38

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Solution

The fourth proportional to 742,168.13, 1,024,193.99 and 402,636.38 is: 555,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,168.13 : 1,024,193.99 = 402,636.38 : x
  2. Step 2: Convert to fraction form
    742,168.13/1,024,193.99 = 402,636.38/x
  3. Step 3: Cross multiply
    742,168.13x = 1,024,193.99 × 402,636.38
  4. Step 4: Simplify right side
    742,168.13x = 412,377,756,436.98
  5. Step 5: Solve for x
    x = 412,377,756,436.98/742,168.13
  6. Step 6: Final answer
    x = 555,639.27

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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.