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Finding the Fourth Proportional to 473,366.83, 710,402.90 and 347,332.76

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Solution

The fourth proportional to 473,366.83, 710,402.90 and 347,332.76 is: 521,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,366.83 : 710,402.90 = 347,332.76 : x
  2. Step 2: Convert to fraction form
    473,366.83/710,402.90 = 347,332.76/x
  3. Step 3: Cross multiply
    473,366.83x = 710,402.90 × 347,332.76
  4. Step 4: Simplify right side
    473,366.83x = 246,746,194,680.33
  5. Step 5: Solve for x
    x = 246,746,194,680.33/473,366.83
  6. Step 6: Final answer
    x = 521,257.89

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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.