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Finding the Fourth Proportional to 431,828.70, 596,200.95 and 270,904.38

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Solution

The fourth proportional to 431,828.70, 596,200.95 and 270,904.38 is: 374,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,828.70 : 596,200.95 = 270,904.38 : x
  2. Step 2: Convert to fraction form
    431,828.70/596,200.95 = 270,904.38/x
  3. Step 3: Cross multiply
    431,828.70x = 596,200.95 × 270,904.38
  4. Step 4: Simplify right side
    431,828.70x = 161,513,448,715.16
  5. Step 5: Solve for x
    x = 161,513,448,715.16/431,828.70
  6. Step 6: Final answer
    x = 374,022.03

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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.