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Finding the Fourth Proportional to 567,659.60, 783,371.88 and 313,005.20

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Solution

The fourth proportional to 567,659.60, 783,371.88 and 313,005.20 is: 431,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,659.60 : 783,371.88 = 313,005.20 : x
  2. Step 2: Convert to fraction form
    567,659.60/783,371.88 = 313,005.20/x
  3. Step 3: Cross multiply
    567,659.60x = 783,371.88 × 313,005.20
  4. Step 4: Simplify right side
    567,659.60x = 245,199,471,973.78
  5. Step 5: Solve for x
    x = 245,199,471,973.78/567,659.60
  6. Step 6: Final answer
    x = 431,948.08

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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.