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Finding the Fourth Proportional to 287,593.60, 431,403.20 and 98,051.20

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Solution

The fourth proportional to 287,593.60, 431,403.20 and 98,051.20 is: 147,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,593.60 : 431,403.20 = 98,051.20 : x
  2. Step 2: Convert to fraction form
    287,593.60/431,403.20 = 98,051.20/x
  3. Step 3: Cross multiply
    287,593.60x = 431,403.20 × 98,051.20
  4. Step 4: Simplify right side
    287,593.60x = 42,299,601,443.84
  5. Step 5: Solve for x
    x = 42,299,601,443.84/287,593.60
  6. Step 6: Final answer
    x = 147,081.16

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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.