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Finding the Fourth Proportional to 524,657.40, 786,597.30 and 224,892.60

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Solution

The fourth proportional to 524,657.40, 786,597.30 and 224,892.60 is: 337,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,657.40 : 786,597.30 = 224,892.60 : x
  2. Step 2: Convert to fraction form
    524,657.40/786,597.30 = 224,892.60/x
  3. Step 3: Cross multiply
    524,657.40x = 786,597.30 × 224,892.60
  4. Step 4: Simplify right side
    524,657.40x = 176,899,911,949.98
  5. Step 5: Solve for x
    x = 176,899,911,949.98/524,657.40
  6. Step 6: Final answer
    x = 337,172.24

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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.