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Finding the Fourth Proportional to 292,562.64, 438,134.53 and 202,352.17

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Solution

The fourth proportional to 292,562.64, 438,134.53 and 202,352.17 is: 303,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,562.64 : 438,134.53 = 202,352.17 : x
  2. Step 2: Convert to fraction form
    292,562.64/438,134.53 = 202,352.17/x
  3. Step 3: Cross multiply
    292,562.64x = 438,134.53 × 202,352.17
  4. Step 4: Simplify right side
    292,562.64x = 88,657,472,897.43
  5. Step 5: Solve for x
    x = 88,657,472,897.43/292,562.64
  6. Step 6: Final answer
    x = 303,037.57

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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.