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Finding the Fourth Proportional to 567,013.57, 781,402.11 and 405,588.35

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Solution

The fourth proportional to 567,013.57, 781,402.11 and 405,588.35 is: 558,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,013.57 : 781,402.11 = 405,588.35 : x
  2. Step 2: Convert to fraction form
    567,013.57/781,402.11 = 405,588.35/x
  3. Step 3: Cross multiply
    567,013.57x = 781,402.11 × 405,588.35
  4. Step 4: Simplify right side
    567,013.57x = 316,927,592,481.42
  5. Step 5: Solve for x
    x = 316,927,592,481.42/567,013.57
  6. Step 6: Final answer
    x = 558,941.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.