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Finding the Fourth Proportional to 317,274, 475,864.16 and 92,574.14

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Solution

The fourth proportional to 317,274, 475,864.16 and 92,574.14 is: 138,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,274 : 475,864.16 = 92,574.14 : x
  2. Step 2: Convert to fraction form
    317,274/475,864.16 = 92,574.14/x
  3. Step 3: Cross multiply
    317,274x = 475,864.16 × 92,574.14
  4. Step 4: Simplify right side
    317,274x = 44,052,712,526.63
  5. Step 5: Solve for x
    x = 44,052,712,526.63/317,274
  6. Step 6: Final answer
    x = 138,847.53

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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.