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Finding the Fourth Proportional to 464,427.60, 696,641.40 and 438,766.80

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Solution

The fourth proportional to 464,427.60, 696,641.40 and 438,766.80 is: 658,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,427.60 : 696,641.40 = 438,766.80 : x
  2. Step 2: Convert to fraction form
    464,427.60/696,641.40 = 438,766.80/x
  3. Step 3: Cross multiply
    464,427.60x = 696,641.40 × 438,766.80
  4. Step 4: Simplify right side
    464,427.60x = 305,663,117,825.52
  5. Step 5: Solve for x
    x = 305,663,117,825.52/464,427.60
  6. Step 6: Final answer
    x = 658,150.20

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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.