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Finding the Fourth Proportional to 526,783.84, 726,956.16 and 285,061.12

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Solution

The fourth proportional to 526,783.84, 726,956.16 and 285,061.12 is: 393,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,783.84 : 726,956.16 = 285,061.12 : x
  2. Step 2: Convert to fraction form
    526,783.84/726,956.16 = 285,061.12/x
  3. Step 3: Cross multiply
    526,783.84x = 726,956.16 × 285,061.12
  4. Step 4: Simplify right side
    526,783.84x = 207,226,937,160.50
  5. Step 5: Solve for x
    x = 207,226,937,160.50/526,783.84
  6. Step 6: Final answer
    x = 393,381.35

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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.