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Finding the Fourth Proportional to 719,471.42, 992,872.70 and 392,784.95

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Solution

The fourth proportional to 719,471.42, 992,872.70 and 392,784.95 is: 542,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,471.42 : 992,872.70 = 392,784.95 : x
  2. Step 2: Convert to fraction form
    719,471.42/992,872.70 = 392,784.95/x
  3. Step 3: Cross multiply
    719,471.42x = 992,872.70 × 392,784.95
  4. Step 4: Simplify right side
    719,471.42x = 389,985,446,897.58
  5. Step 5: Solve for x
    x = 389,985,446,897.58/719,471.42
  6. Step 6: Final answer
    x = 542,044.39

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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.