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Finding the Fourth Proportional to 508,594.38, 701,836.59 and 282,237.90

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Solution

The fourth proportional to 508,594.38, 701,836.59 and 282,237.90 is: 389,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,594.38 : 701,836.59 = 282,237.90 : x
  2. Step 2: Convert to fraction form
    508,594.38/701,836.59 = 282,237.90/x
  3. Step 3: Cross multiply
    508,594.38x = 701,836.59 × 282,237.90
  4. Step 4: Simplify right side
    508,594.38x = 198,084,885,304.76
  5. Step 5: Solve for x
    x = 198,084,885,304.76/508,594.38
  6. Step 6: Final answer
    x = 389,475.18

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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.