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Finding the Fourth Proportional to 462,478.61, 638,223.04 and 258,538.12

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Solution

The fourth proportional to 462,478.61, 638,223.04 and 258,538.12 is: 356,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,478.61 : 638,223.04 = 258,538.12 : x
  2. Step 2: Convert to fraction form
    462,478.61/638,223.04 = 258,538.12/x
  3. Step 3: Cross multiply
    462,478.61x = 638,223.04 × 258,538.12
  4. Step 4: Simplify right side
    462,478.61x = 165,004,984,902.29
  5. Step 5: Solve for x
    x = 165,004,984,902.29/462,478.61
  6. Step 6: Final answer
    x = 356,784.04

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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.