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Finding the Fourth Proportional to 712,711.76, 983,542.48 and 390,433.46

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Solution

The fourth proportional to 712,711.76, 983,542.48 and 390,433.46 is: 538,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,711.76 : 983,542.48 = 390,433.46 : x
  2. Step 2: Convert to fraction form
    712,711.76/983,542.48 = 390,433.46/x
  3. Step 3: Cross multiply
    712,711.76x = 983,542.48 × 390,433.46
  4. Step 4: Simplify right side
    712,711.76x = 384,007,893,523.38
  5. Step 5: Solve for x
    x = 384,007,893,523.38/712,711.76
  6. Step 6: Final answer
    x = 538,798.31

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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.