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Finding the Fourth Proportional to 652,208.52, 977,854.47 and 287,297.00

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Solution

The fourth proportional to 652,208.52, 977,854.47 and 287,297.00 is: 430,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,208.52 : 977,854.47 = 287,297.00 : x
  2. Step 2: Convert to fraction form
    652,208.52/977,854.47 = 287,297.00/x
  3. Step 3: Cross multiply
    652,208.52x = 977,854.47 × 287,297.00
  4. Step 4: Simplify right side
    652,208.52x = 280,934,650,778.32
  5. Step 5: Solve for x
    x = 280,934,650,778.32/652,208.52
  6. Step 6: Final answer
    x = 430,743.61

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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.