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Finding the Fourth Proportional to 310,029.60, 465,044.40 and 305,882.40

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Solution

The fourth proportional to 310,029.60, 465,044.40 and 305,882.40 is: 458,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,029.60 : 465,044.40 = 305,882.40 : x
  2. Step 2: Convert to fraction form
    310,029.60/465,044.40 = 305,882.40/x
  3. Step 3: Cross multiply
    310,029.60x = 465,044.40 × 305,882.40
  4. Step 4: Simplify right side
    310,029.60x = 142,248,897,178.56
  5. Step 5: Solve for x
    x = 142,248,897,178.56/310,029.60
  6. Step 6: Final answer
    x = 458,823.60

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1.5x scale

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.