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Finding the Fourth Proportional to 462,693.88, 638,513.16 and 258,742.46

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Solution

The fourth proportional to 462,693.88, 638,513.16 and 258,742.46 is: 357,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,693.88 : 638,513.16 = 258,742.46 : x
  2. Step 2: Convert to fraction form
    462,693.88/638,513.16 = 258,742.46/x
  3. Step 3: Cross multiply
    462,693.88x = 638,513.16 × 258,742.46
  4. Step 4: Simplify right side
    462,693.88x = 165,210,465,760.77
  5. Step 5: Solve for x
    x = 165,210,465,760.77/462,693.88
  6. Step 6: Final answer
    x = 357,062.14

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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.