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Finding the Fourth Proportional to 410,162.70, 572,828.10 and 410,162.70

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Solution

The fourth proportional to 410,162.70, 572,828.10 and 410,162.70 is: 572,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,162.70 : 572,828.10 = 410,162.70 : x
  2. Step 2: Convert to fraction form
    410,162.70/572,828.10 = 410,162.70/x
  3. Step 3: Cross multiply
    410,162.70x = 572,828.10 × 410,162.70
  4. Step 4: Simplify right side
    410,162.70x = 234,952,720,131.87
  5. Step 5: Solve for x
    x = 234,952,720,131.87/410,162.70
  6. Step 6: Final answer
    x = 572,828.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.