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Finding the Fourth Proportional to 652,589.72, 900,371.93 and 380,465.06

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Solution

The fourth proportional to 652,589.72, 900,371.93 and 380,465.06 is: 524,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,589.72 : 900,371.93 = 380,465.06 : x
  2. Step 2: Convert to fraction form
    652,589.72/900,371.93 = 380,465.06/x
  3. Step 3: Cross multiply
    652,589.72x = 900,371.93 × 380,465.06
  4. Step 4: Simplify right side
    652,589.72x = 342,560,053,965.58
  5. Step 5: Solve for x
    x = 342,560,053,965.58/652,589.72
  6. Step 6: Final answer
    x = 524,924.08

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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.