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Finding the Fourth Proportional to 526,321.34, 726,322.91 and 284,603.30

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Solution

The fourth proportional to 526,321.34, 726,322.91 and 284,603.30 is: 392,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,321.34 : 726,322.91 = 284,603.30 : x
  2. Step 2: Convert to fraction form
    526,321.34/726,322.91 = 284,603.30/x
  3. Step 3: Cross multiply
    526,321.34x = 726,322.91 × 284,603.30
  4. Step 4: Simplify right side
    526,321.34x = 206,713,897,051.60
  5. Step 5: Solve for x
    x = 206,713,897,051.60/526,321.34
  6. Step 6: Final answer
    x = 392,752.26

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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.