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Finding the Fourth Proportional to 549,713.28, 824,594.76 and 150,345.12

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Solution

The fourth proportional to 549,713.28, 824,594.76 and 150,345.12 is: 225,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,713.28 : 824,594.76 = 150,345.12 : x
  2. Step 2: Convert to fraction form
    549,713.28/824,594.76 = 150,345.12/x
  3. Step 3: Cross multiply
    549,713.28x = 824,594.76 × 150,345.12
  4. Step 4: Simplify right side
    549,713.28x = 123,973,798,143.57
  5. Step 5: Solve for x
    x = 123,973,798,143.57/549,713.28
  6. Step 6: Final answer
    x = 225,524.47

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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.