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Finding the Fourth Proportional to 310,116.69, 427,737.38 and 284,703.75

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Solution

The fourth proportional to 310,116.69, 427,737.38 and 284,703.75 is: 392,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,116.69 : 427,737.38 = 284,703.75 : x
  2. Step 2: Convert to fraction form
    310,116.69/427,737.38 = 284,703.75/x
  3. Step 3: Cross multiply
    310,116.69x = 427,737.38 × 284,703.75
  4. Step 4: Simplify right side
    310,116.69x = 121,778,434,677.66
  5. Step 5: Solve for x
    x = 121,778,434,677.66/310,116.69
  6. Step 6: Final answer
    x = 392,685.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.