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Finding the Fourth Proportional to 431,097.17, 594,708.05 and 334,945.85

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Solution

The fourth proportional to 431,097.17, 594,708.05 and 334,945.85 is: 462,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,097.17 : 594,708.05 = 334,945.85 : x
  2. Step 2: Convert to fraction form
    431,097.17/594,708.05 = 334,945.85/x
  3. Step 3: Cross multiply
    431,097.17x = 594,708.05 × 334,945.85
  4. Step 4: Simplify right side
    431,097.17x = 199,194,991,172.92
  5. Step 5: Solve for x
    x = 199,194,991,172.92/431,097.17
  6. Step 6: Final answer
    x = 462,065.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.