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Finding the Fourth Proportional to 307,013.76, 460,480.32 and 96,652.80

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Solution

The fourth proportional to 307,013.76, 460,480.32 and 96,652.80 is: 144,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,013.76 : 460,480.32 = 96,652.80 : x
  2. Step 2: Convert to fraction form
    307,013.76/460,480.32 = 96,652.80/x
  3. Step 3: Cross multiply
    307,013.76x = 460,480.32 × 96,652.80
  4. Step 4: Simplify right side
    307,013.76x = 44,506,712,272.90
  5. Step 5: Solve for x
    x = 44,506,712,272.90/307,013.76
  6. Step 6: Final answer
    x = 144,966.51

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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.