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Finding the Fourth Proportional to 566,829.40, 851,165.70 and 410,157.40

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Solution

The fourth proportional to 566,829.40, 851,165.70 and 410,157.40 is: 615,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,829.40 : 851,165.70 = 410,157.40 : x
  2. Step 2: Convert to fraction form
    566,829.40/851,165.70 = 410,157.40/x
  3. Step 3: Cross multiply
    566,829.40x = 851,165.70 × 410,157.40
  4. Step 4: Simplify right side
    566,829.40x = 349,111,910,481.18
  5. Step 5: Solve for x
    x = 349,111,910,481.18/566,829.40
  6. Step 6: Final answer
    x = 615,902.97

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1.5x scale

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.