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Finding the Fourth Proportional to 460,195.74, 690,368.42 and 136,016.74

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Solution

The fourth proportional to 460,195.74, 690,368.42 and 136,016.74 is: 204,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,195.74 : 690,368.42 = 136,016.74 : x
  2. Step 2: Convert to fraction form
    460,195.74/690,368.42 = 136,016.74/x
  3. Step 3: Cross multiply
    460,195.74x = 690,368.42 × 136,016.74
  4. Step 4: Simplify right side
    460,195.74x = 93,901,661,887.35
  5. Step 5: Solve for x
    x = 93,901,661,887.35/460,195.74
  6. Step 6: Final answer
    x = 204,047.22

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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.