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Finding the Fourth Proportional to 292,349.31, 438,523.98 and 70,733.31

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Solution

The fourth proportional to 292,349.31, 438,523.98 and 70,733.31 is: 106,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,349.31 : 438,523.98 = 70,733.31 : x
  2. Step 2: Convert to fraction form
    292,349.31/438,523.98 = 70,733.31/x
  3. Step 3: Cross multiply
    292,349.31x = 438,523.98 × 70,733.31
  4. Step 4: Simplify right side
    292,349.31x = 31,018,250,073.49
  5. Step 5: Solve for x
    x = 31,018,250,073.49/292,349.31
  6. Step 6: Final answer
    x = 106,099.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.