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Finding the Fourth Proportional to 465,304.91, 698,304.71 and 345,638.14

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Solution

The fourth proportional to 465,304.91, 698,304.71 and 345,638.14 is: 518,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,304.91 : 698,304.71 = 345,638.14 : x
  2. Step 2: Convert to fraction form
    465,304.91/698,304.71 = 345,638.14/x
  3. Step 3: Cross multiply
    465,304.91x = 698,304.71 × 345,638.14
  4. Step 4: Simplify right side
    465,304.91x = 241,360,740,235.97
  5. Step 5: Solve for x
    x = 241,360,740,235.97/465,304.91
  6. Step 6: Final answer
    x = 518,715.23

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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.