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Finding the Fourth Proportional to 254,430.80, 381,646.20 and 232,269.20

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Solution

The fourth proportional to 254,430.80, 381,646.20 and 232,269.20 is: 348,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,430.80 : 381,646.20 = 232,269.20 : x
  2. Step 2: Convert to fraction form
    254,430.80/381,646.20 = 232,269.20/x
  3. Step 3: Cross multiply
    254,430.80x = 381,646.20 × 232,269.20
  4. Step 4: Simplify right side
    254,430.80x = 88,644,657,557.04
  5. Step 5: Solve for x
    x = 88,644,657,557.04/254,430.80
  6. Step 6: Final answer
    x = 348,403.80

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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.