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Finding the Fourth Proportional to 567,932.52, 783,686.28 and 313,283.70

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Solution

The fourth proportional to 567,932.52, 783,686.28 and 313,283.70 is: 432,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,932.52 : 783,686.28 = 313,283.70 : x
  2. Step 2: Convert to fraction form
    567,932.52/783,686.28 = 313,283.70/x
  3. Step 3: Cross multiply
    567,932.52x = 783,686.28 × 313,283.70
  4. Step 4: Simplify right side
    567,932.52x = 245,516,137,437.64
  5. Step 5: Solve for x
    x = 245,516,137,437.64/567,932.52
  6. Step 6: Final answer
    x = 432,298.08

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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.