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Finding the Fourth Proportional to 410,466.90, 614,388.15 and 292,368.90

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Solution

The fourth proportional to 410,466.90, 614,388.15 and 292,368.90 is: 437,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,466.90 : 614,388.15 = 292,368.90 : x
  2. Step 2: Convert to fraction form
    410,466.90/614,388.15 = 292,368.90/x
  3. Step 3: Cross multiply
    410,466.90x = 614,388.15 × 292,368.90
  4. Step 4: Simplify right side
    410,466.90x = 179,627,987,588.54
  5. Step 5: Solve for x
    x = 179,627,987,588.54/410,466.90
  6. Step 6: Final answer
    x = 437,618.69

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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.