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Finding the Fourth Proportional to 553,038.78, 829,689.38 and 179,061.78

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Solution

The fourth proportional to 553,038.78, 829,689.38 and 179,061.78 is: 268,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,038.78 : 829,689.38 = 179,061.78 : x
  2. Step 2: Convert to fraction form
    553,038.78/829,689.38 = 179,061.78/x
  3. Step 3: Cross multiply
    553,038.78x = 829,689.38 × 179,061.78
  4. Step 4: Simplify right side
    553,038.78x = 148,565,657,229.90
  5. Step 5: Solve for x
    x = 148,565,657,229.90/553,038.78
  6. Step 6: Final answer
    x = 268,635.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.