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Finding the Fourth Proportional to 652,236.60, 978,354.90 and 292,406.80

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Solution

The fourth proportional to 652,236.60, 978,354.90 and 292,406.80 is: 438,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,236.60 : 978,354.90 = 292,406.80 : x
  2. Step 2: Convert to fraction form
    652,236.60/978,354.90 = 292,406.80/x
  3. Step 3: Cross multiply
    652,236.60x = 978,354.90 × 292,406.80
  4. Step 4: Simplify right side
    652,236.60x = 286,077,625,573.32
  5. Step 5: Solve for x
    x = 286,077,625,573.32/652,236.60
  6. Step 6: Final answer
    x = 438,610.20

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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.