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Finding the Fourth Proportional to 314,337.87, 471,511.14 and 89,698.24

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Solution

The fourth proportional to 314,337.87, 471,511.14 and 89,698.24 is: 134,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337.87 : 471,511.14 = 89,698.24 : x
  2. Step 2: Convert to fraction form
    314,337.87/471,511.14 = 89,698.24/x
  3. Step 3: Cross multiply
    314,337.87x = 471,511.14 × 89,698.24
  4. Step 4: Simplify right side
    314,337.87x = 42,293,719,398.39
  5. Step 5: Solve for x
    x = 42,293,719,398.39/314,337.87
  6. Step 6: Final answer
    x = 134,548.60

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1.5x scale

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.