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Finding the Fourth Proportional to 524,193.10, 785,631.57 and 224,321.02

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Solution

The fourth proportional to 524,193.10, 785,631.57 and 224,321.02 is: 336,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,193.10 : 785,631.57 = 224,321.02 : x
  2. Step 2: Convert to fraction form
    524,193.10/785,631.57 = 224,321.02/x
  3. Step 3: Cross multiply
    524,193.10x = 785,631.57 × 224,321.02
  4. Step 4: Simplify right side
    524,193.10x = 176,233,675,126.60
  5. Step 5: Solve for x
    x = 176,233,675,126.60/524,193.10
  6. Step 6: Final answer
    x = 336,199.91

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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.