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Finding the Fourth Proportional to 596,851.12, 894,478.12 and 292,780.40

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Solution

The fourth proportional to 596,851.12, 894,478.12 and 292,780.40 is: 438,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,851.12 : 894,478.12 = 292,780.40 : x
  2. Step 2: Convert to fraction form
    596,851.12/894,478.12 = 292,780.40/x
  3. Step 3: Cross multiply
    596,851.12x = 894,478.12 × 292,780.40
  4. Step 4: Simplify right side
    596,851.12x = 261,885,661,764.85
  5. Step 5: Solve for x
    x = 261,885,661,764.85/596,851.12
  6. Step 6: Final answer
    x = 438,778.87

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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.