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Finding the Fourth Proportional to 306,981.86, 460,535.07 and 96,570.86

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Solution

The fourth proportional to 306,981.86, 460,535.07 and 96,570.86 is: 144,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,981.86 : 460,535.07 = 96,570.86 : x
  2. Step 2: Convert to fraction form
    306,981.86/460,535.07 = 96,570.86/x
  3. Step 3: Cross multiply
    306,981.86x = 460,535.07 × 96,570.86
  4. Step 4: Simplify right side
    306,981.86x = 44,474,267,770.06
  5. Step 5: Solve for x
    x = 44,474,267,770.06/306,981.86
  6. Step 6: Final answer
    x = 144,875.88

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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.