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Finding the Fourth Proportional to 566,784.24, 782,152.80 and 312,159.12

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Solution

The fourth proportional to 566,784.24, 782,152.80 and 312,159.12 is: 430,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,784.24 : 782,152.80 = 312,159.12 : x
  2. Step 2: Convert to fraction form
    566,784.24/782,152.80 = 312,159.12/x
  3. Step 3: Cross multiply
    566,784.24x = 782,152.80 × 312,159.12
  4. Step 4: Simplify right side
    566,784.24x = 244,156,129,753.54
  5. Step 5: Solve for x
    x = 244,156,129,753.54/566,784.24
  6. Step 6: Final answer
    x = 430,774.38

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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.