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Finding the Fourth Proportional to 569,712.80, 853,532.40 and 463,959.20

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Solution

The fourth proportional to 569,712.80, 853,532.40 and 463,959.20 is: 695,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,712.80 : 853,532.40 = 463,959.20 : x
  2. Step 2: Convert to fraction form
    569,712.80/853,532.40 = 463,959.20/x
  3. Step 3: Cross multiply
    569,712.80x = 853,532.40 × 463,959.20
  4. Step 4: Simplify right side
    569,712.80x = 396,004,209,478.08
  5. Step 5: Solve for x
    x = 396,004,209,478.08/569,712.80
  6. Step 6: Final answer
    x = 695,094.46

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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.