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Finding the Fourth Proportional to 652,208.77, 977,854.85 and 287,297.25

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Solution

The fourth proportional to 652,208.77, 977,854.85 and 287,297.25 is: 430,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,208.77 : 977,854.85 = 287,297.25 : x
  2. Step 2: Convert to fraction form
    652,208.77/977,854.85 = 287,297.25/x
  3. Step 3: Cross multiply
    652,208.77x = 977,854.85 × 287,297.25
  4. Step 4: Simplify right side
    652,208.77x = 280,935,009,304.16
  5. Step 5: Solve for x
    x = 280,935,009,304.16/652,208.77
  6. Step 6: Final answer
    x = 430,743.99

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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.