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Finding the Fourth Proportional to 524,461.71, 786,475.68 and 164,512.50

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Solution

The fourth proportional to 524,461.71, 786,475.68 and 164,512.50 is: 246,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,461.71 : 786,475.68 = 164,512.50 : x
  2. Step 2: Convert to fraction form
    524,461.71/786,475.68 = 164,512.50/x
  3. Step 3: Cross multiply
    524,461.71x = 786,475.68 × 164,512.50
  4. Step 4: Simplify right side
    524,461.71x = 129,385,080,306.00
  5. Step 5: Solve for x
    x = 129,385,080,306.00/524,461.71
  6. Step 6: Final answer
    x = 246,700.72

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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.