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Finding the Fourth Proportional to 306,711.20, 460,088.40 and 173,655.20

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Solution

The fourth proportional to 306,711.20, 460,088.40 and 173,655.20 is: 260,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711.20 : 460,088.40 = 173,655.20 : x
  2. Step 2: Convert to fraction form
    306,711.20/460,088.40 = 173,655.20/x
  3. Step 3: Cross multiply
    306,711.20x = 460,088.40 × 173,655.20
  4. Step 4: Simplify right side
    306,711.20x = 79,896,743,119.68
  5. Step 5: Solve for x
    x = 79,896,743,119.68/306,711.20
  6. Step 6: Final answer
    x = 260,495.03

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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.