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Finding the Fourth Proportional to 549,702.81, 824,542.54 and 150,343.59

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Solution

The fourth proportional to 549,702.81, 824,542.54 and 150,343.59 is: 225,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,702.81 : 824,542.54 = 150,343.59 : x
  2. Step 2: Convert to fraction form
    549,702.81/824,542.54 = 150,343.59/x
  3. Step 3: Cross multiply
    549,702.81x = 824,542.54 × 150,343.59
  4. Step 4: Simplify right side
    549,702.81x = 123,964,685,195.46
  5. Step 5: Solve for x
    x = 123,964,685,195.46/549,702.81
  6. Step 6: Final answer
    x = 225,512.19

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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.