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Finding the Fourth Proportional to 552,964.02, 829,416.87 and 272,386.50

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Solution

The fourth proportional to 552,964.02, 829,416.87 and 272,386.50 is: 408,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,964.02 : 829,416.87 = 272,386.50 : x
  2. Step 2: Convert to fraction form
    552,964.02/829,416.87 = 272,386.50/x
  3. Step 3: Cross multiply
    552,964.02x = 829,416.87 × 272,386.50
  4. Step 4: Simplify right side
    552,964.02x = 225,921,958,260.26
  5. Step 5: Solve for x
    x = 225,921,958,260.26/552,964.02
  6. Step 6: Final answer
    x = 408,565.39

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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.