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Finding the Fourth Proportional to 560,271.38, 840,414.38 and 186,294.38

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Solution

The fourth proportional to 560,271.38, 840,414.38 and 186,294.38 is: 279,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,271.38 : 840,414.38 = 186,294.38 : x
  2. Step 2: Convert to fraction form
    560,271.38/840,414.38 = 186,294.38/x
  3. Step 3: Cross multiply
    560,271.38x = 840,414.38 × 186,294.38
  4. Step 4: Simplify right side
    560,271.38x = 156,564,470,731.64
  5. Step 5: Solve for x
    x = 156,564,470,731.64/560,271.38
  6. Step 6: Final answer
    x = 279,443.99

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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.