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Finding the Fourth Proportional to 306,575.60, 460,082.10 and 173,314.40

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Solution

The fourth proportional to 306,575.60, 460,082.10 and 173,314.40 is: 260,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,575.60 : 460,082.10 = 173,314.40 : x
  2. Step 2: Convert to fraction form
    306,575.60/460,082.10 = 173,314.40/x
  3. Step 3: Cross multiply
    306,575.60x = 460,082.10 × 173,314.40
  4. Step 4: Simplify right side
    306,575.60x = 79,738,853,112.24
  5. Step 5: Solve for x
    x = 79,738,853,112.24/306,575.60
  6. Step 6: Final answer
    x = 260,095.24

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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.