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Finding the Fourth Proportional to 369,648, 510,114.42 and 199,882.08

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Solution

The fourth proportional to 369,648, 510,114.42 and 199,882.08 is: 275,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,648 : 510,114.42 = 199,882.08 : x
  2. Step 2: Convert to fraction form
    369,648/510,114.42 = 199,882.08/x
  3. Step 3: Cross multiply
    369,648x = 510,114.42 × 199,882.08
  4. Step 4: Simplify right side
    369,648x = 101,962,731,307.59
  5. Step 5: Solve for x
    x = 101,962,731,307.59/369,648
  6. Step 6: Final answer
    x = 275,837.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.