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Finding the Fourth Proportional to 431,528.07, 646,843.02 and 241,710.15

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Solution

The fourth proportional to 431,528.07, 646,843.02 and 241,710.15 is: 362,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,528.07 : 646,843.02 = 241,710.15 : x
  2. Step 2: Convert to fraction form
    431,528.07/646,843.02 = 241,710.15/x
  3. Step 3: Cross multiply
    431,528.07x = 646,843.02 × 241,710.15
  4. Step 4: Simplify right side
    431,528.07x = 156,348,523,390.65
  5. Step 5: Solve for x
    x = 156,348,523,390.65/431,528.07
  6. Step 6: Final answer
    x = 362,313.68

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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.