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Finding the Fourth Proportional to 410,203.20, 572,884.80 and 410,203.20

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Solution

The fourth proportional to 410,203.20, 572,884.80 and 410,203.20 is: 572,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,203.20 : 572,884.80 = 410,203.20 : x
  2. Step 2: Convert to fraction form
    410,203.20/572,884.80 = 410,203.20/x
  3. Step 3: Cross multiply
    410,203.20x = 572,884.80 × 410,203.20
  4. Step 4: Simplify right side
    410,203.20x = 234,999,178,191.36
  5. Step 5: Solve for x
    x = 234,999,178,191.36/410,203.20
  6. Step 6: Final answer
    x = 572,884.80

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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.