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Finding the Fourth Proportional to 961,710.72, 1,442,697.30 and 400,614

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Solution

The fourth proportional to 961,710.72, 1,442,697.30 and 400,614 is: 600,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,710.72 : 1,442,697.30 = 400,614 : x
  2. Step 2: Convert to fraction form
    961,710.72/1,442,697.30 = 400,614/x
  3. Step 3: Cross multiply
    961,710.72x = 1,442,697.30 × 400,614
  4. Step 4: Simplify right side
    961,710.72x = 577,964,736,142.20
  5. Step 5: Solve for x
    x = 577,964,736,142.20/961,710.72
  6. Step 6: Final answer
    x = 600,975.66

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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.