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Finding the Fourth Proportional to 315,470, 473,208.24 and 93,854

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Solution

The fourth proportional to 315,470, 473,208.24 and 93,854 is: 140,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,470 : 473,208.24 = 93,854 : x
  2. Step 2: Convert to fraction form
    315,470/473,208.24 = 93,854/x
  3. Step 3: Cross multiply
    315,470x = 473,208.24 × 93,854
  4. Step 4: Simplify right side
    315,470x = 44,412,486,156.96
  5. Step 5: Solve for x
    x = 44,412,486,156.96/315,470
  6. Step 6: Final answer
    x = 140,781.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.