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Finding the Fourth Proportional to 565,955.52, 781,002.16 and 311,306.64

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Solution

The fourth proportional to 565,955.52, 781,002.16 and 311,306.64 is: 429,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,955.52 : 781,002.16 = 311,306.64 : x
  2. Step 2: Convert to fraction form
    565,955.52/781,002.16 = 311,306.64/x
  3. Step 3: Cross multiply
    565,955.52x = 781,002.16 × 311,306.64
  4. Step 4: Simplify right side
    565,955.52x = 243,131,158,262.34
  5. Step 5: Solve for x
    x = 243,131,158,262.34/565,955.52
  6. Step 6: Final answer
    x = 429,594.11

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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.