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Finding the Fourth Proportional to 567,603.90, 783,257.67 and 312,957.18

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Solution

The fourth proportional to 567,603.90, 783,257.67 and 312,957.18 is: 431,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,603.90 : 783,257.67 = 312,957.18 : x
  2. Step 2: Convert to fraction form
    567,603.90/783,257.67 = 312,957.18/x
  3. Step 3: Cross multiply
    567,603.90x = 783,257.67 × 312,957.18
  4. Step 4: Simplify right side
    567,603.90x = 245,126,111,616.57
  5. Step 5: Solve for x
    x = 245,126,111,616.57/567,603.90
  6. Step 6: Final answer
    x = 431,861.22

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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.