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Finding the Fourth Proportional to 291,456.48, 402,230.52 and 162,403.50

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Solution

The fourth proportional to 291,456.48, 402,230.52 and 162,403.50 is: 224,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,456.48 : 402,230.52 = 162,403.50 : x
  2. Step 2: Convert to fraction form
    291,456.48/402,230.52 = 162,403.50/x
  3. Step 3: Cross multiply
    291,456.48x = 402,230.52 × 162,403.50
  4. Step 4: Simplify right side
    291,456.48x = 65,323,644,254.82
  5. Step 5: Solve for x
    x = 65,323,644,254.82/291,456.48
  6. Step 6: Final answer
    x = 224,128.30

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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.