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Finding the Fourth Proportional to 312,468.53, 431,241.65 and 176,511.24

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Solution

The fourth proportional to 312,468.53, 431,241.65 and 176,511.24 is: 243,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468.53 : 431,241.65 = 176,511.24 : x
  2. Step 2: Convert to fraction form
    312,468.53/431,241.65 = 176,511.24/x
  3. Step 3: Cross multiply
    312,468.53x = 431,241.65 × 176,511.24
  4. Step 4: Simplify right side
    312,468.53x = 76,118,997,498.59
  5. Step 5: Solve for x
    x = 76,118,997,498.59/312,468.53
  6. Step 6: Final answer
    x = 243,605.33

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1.5x scale

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.