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Finding the Fourth Proportional to 469,400.64, 704,142.38 and 132,444.24

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Solution

The fourth proportional to 469,400.64, 704,142.38 and 132,444.24 is: 198,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,400.64 : 704,142.38 = 132,444.24 : x
  2. Step 2: Convert to fraction form
    469,400.64/704,142.38 = 132,444.24/x
  3. Step 3: Cross multiply
    469,400.64x = 704,142.38 × 132,444.24
  4. Step 4: Simplify right side
    469,400.64x = 93,259,602,370.89
  5. Step 5: Solve for x
    x = 93,259,602,370.89/469,400.64
  6. Step 6: Final answer
    x = 198,678.05

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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.