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Finding the Fourth Proportional to 653,844.42, 902,707.86 and 518,425.38

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Solution

The fourth proportional to 653,844.42, 902,707.86 and 518,425.38 is: 715,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,844.42 : 902,707.86 = 518,425.38 : x
  2. Step 2: Convert to fraction form
    653,844.42/902,707.86 = 518,425.38/x
  3. Step 3: Cross multiply
    653,844.42x = 902,707.86 × 518,425.38
  4. Step 4: Simplify right side
    653,844.42x = 467,986,665,349.49
  5. Step 5: Solve for x
    x = 467,986,665,349.49/653,844.42
  6. Step 6: Final answer
    x = 715,746.21

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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.