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Finding the Fourth Proportional to 312,447.42, 468,574.08 and 112,741.74

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Solution

The fourth proportional to 312,447.42, 468,574.08 and 112,741.74 is: 169,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.42 : 468,574.08 = 112,741.74 : x
  2. Step 2: Convert to fraction form
    312,447.42/468,574.08 = 112,741.74/x
  3. Step 3: Cross multiply
    312,447.42x = 468,574.08 × 112,741.74
  4. Step 4: Simplify right side
    312,447.42x = 52,827,857,098.10
  5. Step 5: Solve for x
    x = 52,827,857,098.10/312,447.42
  6. Step 6: Final answer
    x = 169,077.59

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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.