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Finding the Fourth Proportional to 593,871.12, 819,915.84 and 412,524.72

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Solution

The fourth proportional to 593,871.12, 819,915.84 and 412,524.72 is: 569,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,871.12 : 819,915.84 = 412,524.72 : x
  2. Step 2: Convert to fraction form
    593,871.12/819,915.84 = 412,524.72/x
  3. Step 3: Cross multiply
    593,871.12x = 819,915.84 × 412,524.72
  4. Step 4: Simplify right side
    593,871.12x = 338,235,552,319.57
  5. Step 5: Solve for x
    x = 338,235,552,319.57/593,871.12
  6. Step 6: Final answer
    x = 569,543.70

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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.