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Finding the Fourth Proportional to 431,116.20, 602,381.70 and 431,116.20

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Solution

The fourth proportional to 431,116.20, 602,381.70 and 431,116.20 is: 602,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,116.20 : 602,381.70 = 431,116.20 : x
  2. Step 2: Convert to fraction form
    431,116.20/602,381.70 = 431,116.20/x
  3. Step 3: Cross multiply
    431,116.20x = 602,381.70 × 431,116.20
  4. Step 4: Simplify right side
    431,116.20x = 259,696,509,453.54
  5. Step 5: Solve for x
    x = 259,696,509,453.54/431,116.20
  6. Step 6: Final answer
    x = 602,381.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.