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Finding the Fourth Proportional to 307,433.10, 460,930.95 and 117,820.20

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Solution

The fourth proportional to 307,433.10, 460,930.95 and 117,820.20 is: 176,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,433.10 : 460,930.95 = 117,820.20 : x
  2. Step 2: Convert to fraction form
    307,433.10/460,930.95 = 117,820.20/x
  3. Step 3: Cross multiply
    307,433.10x = 460,930.95 × 117,820.20
  4. Step 4: Simplify right side
    307,433.10x = 54,306,976,715.19
  5. Step 5: Solve for x
    x = 54,306,976,715.19/307,433.10
  6. Step 6: Final answer
    x = 176,646.49

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1.5x scale

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.