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Finding the Fourth Proportional to 315,964, 474,023.76 and 94,348

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Solution

The fourth proportional to 315,964, 474,023.76 and 94,348 is: 141,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,964 : 474,023.76 = 94,348 : x
  2. Step 2: Convert to fraction form
    315,964/474,023.76 = 94,348/x
  3. Step 3: Cross multiply
    315,964x = 474,023.76 × 94,348
  4. Step 4: Simplify right side
    315,964x = 44,723,193,708.48
  5. Step 5: Solve for x
    x = 44,723,193,708.48/315,964
  6. Step 6: Final answer
    x = 141,545.22

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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.