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Finding the Fourth Proportional to 552,805.95, 829,213.56 and 153,477.86

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Solution

The fourth proportional to 552,805.95, 829,213.56 and 153,477.86 is: 230,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,805.95 : 829,213.56 = 153,477.86 : x
  2. Step 2: Convert to fraction form
    552,805.95/829,213.56 = 153,477.86/x
  3. Step 3: Cross multiply
    552,805.95x = 829,213.56 × 153,477.86
  4. Step 4: Simplify right side
    552,805.95x = 127,265,924,744.82
  5. Step 5: Solve for x
    x = 127,265,924,744.82/552,805.95
  6. Step 6: Final answer
    x = 230,218.08

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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.