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Finding the Fourth Proportional to 312,417.14, 468,528.84 and 112,711.59

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Solution

The fourth proportional to 312,417.14, 468,528.84 and 112,711.59 is: 169,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417.14 : 468,528.84 = 112,711.59 : x
  2. Step 2: Convert to fraction form
    312,417.14/468,528.84 = 112,711.59/x
  3. Step 3: Cross multiply
    312,417.14x = 468,528.84 × 112,711.59
  4. Step 4: Simplify right side
    312,417.14x = 52,808,630,517.26
  5. Step 5: Solve for x
    x = 52,808,630,517.26/312,417.14
  6. Step 6: Final answer
    x = 169,032.44

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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.