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Finding the Fourth Proportional to 306,722.40, 460,083.60 and 96,381.60

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Solution

The fourth proportional to 306,722.40, 460,083.60 and 96,381.60 is: 144,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,722.40 : 460,083.60 = 96,381.60 : x
  2. Step 2: Convert to fraction form
    306,722.40/460,083.60 = 96,381.60/x
  3. Step 3: Cross multiply
    306,722.40x = 460,083.60 × 96,381.60
  4. Step 4: Simplify right side
    306,722.40x = 44,343,593,501.76
  5. Step 5: Solve for x
    x = 44,343,593,501.76/306,722.40
  6. Step 6: Final answer
    x = 144,572.40

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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.