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Finding the Fourth Proportional to 524,415.32, 786,623.88 and 224,701.64

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Solution

The fourth proportional to 524,415.32, 786,623.88 and 224,701.64 is: 337,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,415.32 : 786,623.88 = 224,701.64 : x
  2. Step 2: Convert to fraction form
    524,415.32/786,623.88 = 224,701.64/x
  3. Step 3: Cross multiply
    524,415.32x = 786,623.88 × 224,701.64
  4. Step 4: Simplify right side
    524,415.32x = 176,755,675,899.16
  5. Step 5: Solve for x
    x = 176,755,675,899.16/524,415.32
  6. Step 6: Final answer
    x = 337,052.85

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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.