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Finding the Fourth Proportional to 310,041.60, 465,062.40 and 295,279.35

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Solution

The fourth proportional to 310,041.60, 465,062.40 and 295,279.35 is: 442,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,041.60 : 465,062.40 = 295,279.35 : x
  2. Step 2: Convert to fraction form
    310,041.60/465,062.40 = 295,279.35/x
  3. Step 3: Cross multiply
    310,041.60x = 465,062.40 × 295,279.35
  4. Step 4: Simplify right side
    310,041.60x = 137,323,323,181.44
  5. Step 5: Solve for x
    x = 137,323,323,181.44/310,041.60
  6. Step 6: Final answer
    x = 442,919.03

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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.