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Finding the Fourth Proportional to 584,512.80, 876,164.40 and 317,709.60

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Solution

The fourth proportional to 584,512.80, 876,164.40 and 317,709.60 is: 476,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,512.80 : 876,164.40 = 317,709.60 : x
  2. Step 2: Convert to fraction form
    584,512.80/876,164.40 = 317,709.60/x
  3. Step 3: Cross multiply
    584,512.80x = 876,164.40 × 317,709.60
  4. Step 4: Simplify right side
    584,512.80x = 278,365,841,058.24
  5. Step 5: Solve for x
    x = 278,365,841,058.24/584,512.80
  6. Step 6: Final answer
    x = 476,235.66

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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.