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Finding the Fourth Proportional to 596,853.12, 894,481.12 and 292,782.40

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Solution

The fourth proportional to 596,853.12, 894,481.12 and 292,782.40 is: 438,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,853.12 : 894,481.12 = 292,782.40 : x
  2. Step 2: Convert to fraction form
    596,853.12/894,481.12 = 292,782.40/x
  3. Step 3: Cross multiply
    596,853.12x = 894,481.12 × 292,782.40
  4. Step 4: Simplify right side
    596,853.12x = 261,888,329,068.29
  5. Step 5: Solve for x
    x = 261,888,329,068.29/596,853.12
  6. Step 6: Final answer
    x = 438,781.87

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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.