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Finding the Fourth Proportional to 442,155.58, 609,741.22 and 280,730.38

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Solution

The fourth proportional to 442,155.58, 609,741.22 and 280,730.38 is: 387,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,155.58 : 609,741.22 = 280,730.38 : x
  2. Step 2: Convert to fraction form
    442,155.58/609,741.22 = 280,730.38/x
  3. Step 3: Cross multiply
    442,155.58x = 609,741.22 × 280,730.38
  4. Step 4: Simplify right side
    442,155.58x = 171,172,884,392.26
  5. Step 5: Solve for x
    x = 171,172,884,392.26/442,155.58
  6. Step 6: Final answer
    x = 387,132.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.