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Finding the Fourth Proportional to 566,671.62, 782,024.04 and 312,031.92

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Solution

The fourth proportional to 566,671.62, 782,024.04 and 312,031.92 is: 430,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,671.62 : 782,024.04 = 312,031.92 : x
  2. Step 2: Convert to fraction form
    566,671.62/782,024.04 = 312,031.92/x
  3. Step 3: Cross multiply
    566,671.62x = 782,024.04 × 312,031.92
  4. Step 4: Simplify right side
    566,671.62x = 244,016,462,687.36
  5. Step 5: Solve for x
    x = 244,016,462,687.36/566,671.62
  6. Step 6: Final answer
    x = 430,613.52

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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.