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Finding the Fourth Proportional to 312,587.16, 468,874.24 and 75,931.08

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Solution

The fourth proportional to 312,587.16, 468,874.24 and 75,931.08 is: 113,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,587.16 : 468,874.24 = 75,931.08 : x
  2. Step 2: Convert to fraction form
    312,587.16/468,874.24 = 75,931.08/x
  3. Step 3: Cross multiply
    312,587.16x = 468,874.24 × 75,931.08
  4. Step 4: Simplify right side
    312,587.16x = 35,602,127,427.38
  5. Step 5: Solve for x
    x = 35,602,127,427.38/312,587.16
  6. Step 6: Final answer
    x = 113,895.04

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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.