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Finding the Fourth Proportional to 310,410.60, 465,551.10 and 132,923.40

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Solution

The fourth proportional to 310,410.60, 465,551.10 and 132,923.40 is: 199,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,410.60 : 465,551.10 = 132,923.40 : x
  2. Step 2: Convert to fraction form
    310,410.60/465,551.10 = 132,923.40/x
  3. Step 3: Cross multiply
    310,410.60x = 465,551.10 × 132,923.40
  4. Step 4: Simplify right side
    310,410.60x = 61,882,635,085.74
  5. Step 5: Solve for x
    x = 61,882,635,085.74/310,410.60
  6. Step 6: Final answer
    x = 199,357.35

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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.