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Finding the Fourth Proportional to 310,873.34, 466,310.10 and 86,290.32

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Solution

The fourth proportional to 310,873.34, 466,310.10 and 86,290.32 is: 129,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,873.34 : 466,310.10 = 86,290.32 : x
  2. Step 2: Convert to fraction form
    310,873.34/466,310.10 = 86,290.32/x
  3. Step 3: Cross multiply
    310,873.34x = 466,310.10 × 86,290.32
  4. Step 4: Simplify right side
    310,873.34x = 40,238,047,748.23
  5. Step 5: Solve for x
    x = 40,238,047,748.23/310,873.34
  6. Step 6: Final answer
    x = 129,435.50

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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.