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Finding the Fourth Proportional to 306,981.72, 460,582.74 and 107,357.04

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Solution

The fourth proportional to 306,981.72, 460,582.74 and 107,357.04 is: 161,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,981.72 : 460,582.74 = 107,357.04 : x
  2. Step 2: Convert to fraction form
    306,981.72/460,582.74 = 107,357.04/x
  3. Step 3: Cross multiply
    306,981.72x = 460,582.74 × 107,357.04
  4. Step 4: Simplify right side
    306,981.72x = 49,446,799,641.49
  5. Step 5: Solve for x
    x = 49,446,799,641.49/306,981.72
  6. Step 6: Final answer
    x = 161,074.08

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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.