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Finding the Fourth Proportional to 961,744.72, 1,442,748.36 and 400,648

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Solution

The fourth proportional to 961,744.72, 1,442,748.36 and 400,648 is: 601,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,744.72 : 1,442,748.36 = 400,648 : x
  2. Step 2: Convert to fraction form
    961,744.72/1,442,748.36 = 400,648/x
  3. Step 3: Cross multiply
    961,744.72x = 1,442,748.36 × 400,648
  4. Step 4: Simplify right side
    961,744.72x = 578,034,244,937.28
  5. Step 5: Solve for x
    x = 578,034,244,937.28/961,744.72
  6. Step 6: Final answer
    x = 601,026.69

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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.