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Finding the Fourth Proportional to 552,854.80, 829,282.20 and 272,918.80

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Solution

The fourth proportional to 552,854.80, 829,282.20 and 272,918.80 is: 409,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,854.80 : 829,282.20 = 272,918.80 : x
  2. Step 2: Convert to fraction form
    552,854.80/829,282.20 = 272,918.80/x
  3. Step 3: Cross multiply
    552,854.80x = 829,282.20 × 272,918.80
  4. Step 4: Simplify right side
    552,854.80x = 226,326,702,885.36
  5. Step 5: Solve for x
    x = 226,326,702,885.36/552,854.80
  6. Step 6: Final answer
    x = 409,378.20

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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.