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Finding the Fourth Proportional to 653,254.73, 978,963.15 and 519,541.55

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Solution

The fourth proportional to 653,254.73, 978,963.15 and 519,541.55 is: 778,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,254.73 : 978,963.15 = 519,541.55 : x
  2. Step 2: Convert to fraction form
    653,254.73/978,963.15 = 519,541.55/x
  3. Step 3: Cross multiply
    653,254.73x = 978,963.15 × 519,541.55
  4. Step 4: Simplify right side
    653,254.73x = 508,612,032,343.88
  5. Step 5: Solve for x
    x = 508,612,032,343.88/653,254.73
  6. Step 6: Final answer
    x = 778,581.48

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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.