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Finding the Fourth Proportional to 410,176.20, 572,847 and 410,176.20

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Solution

The fourth proportional to 410,176.20, 572,847 and 410,176.20 is: 572,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,176.20 : 572,847 = 410,176.20 : x
  2. Step 2: Convert to fraction form
    410,176.20/572,847 = 410,176.20/x
  3. Step 3: Cross multiply
    410,176.20x = 572,847 × 410,176.20
  4. Step 4: Simplify right side
    410,176.20x = 234,968,205,641.40
  5. Step 5: Solve for x
    x = 234,968,205,641.40/410,176.20
  6. Step 6: Final answer
    x = 572,847

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1.5x scale

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.