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Finding the Fourth Proportional to 526,678.88, 726,811.68 and 284,956.14

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Solution

The fourth proportional to 526,678.88, 726,811.68 and 284,956.14 is: 393,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,678.88 : 726,811.68 = 284,956.14 : x
  2. Step 2: Convert to fraction form
    526,678.88/726,811.68 = 284,956.14/x
  3. Step 3: Cross multiply
    526,678.88x = 726,811.68 × 284,956.14
  4. Step 4: Simplify right side
    526,678.88x = 207,109,450,839.72
  5. Step 5: Solve for x
    x = 207,109,450,839.72/526,678.88
  6. Step 6: Final answer
    x = 393,236.68

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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.