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Finding the Fourth Proportional to 549,825.71, 824,708.57 and 150,437.66

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Solution

The fourth proportional to 549,825.71, 824,708.57 and 150,437.66 is: 225,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,825.71 : 824,708.57 = 150,437.66 : x
  2. Step 2: Convert to fraction form
    549,825.71/824,708.57 = 150,437.66/x
  3. Step 3: Cross multiply
    549,825.71x = 824,708.57 × 150,437.66
  4. Step 4: Simplify right side
    549,825.71x = 124,067,222,577.02
  5. Step 5: Solve for x
    x = 124,067,222,577.02/549,825.71
  6. Step 6: Final answer
    x = 225,648.28

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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.