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Finding the Fourth Proportional to 462,199.61, 637,823.55 and 258,252.21

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Solution

The fourth proportional to 462,199.61, 637,823.55 and 258,252.21 is: 356,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,199.61 : 637,823.55 = 258,252.21 : x
  2. Step 2: Convert to fraction form
    462,199.61/637,823.55 = 258,252.21/x
  3. Step 3: Cross multiply
    462,199.61x = 637,823.55 × 258,252.21
  4. Step 4: Simplify right side
    462,199.61x = 164,719,340,086.28
  5. Step 5: Solve for x
    x = 164,719,340,086.28/462,199.61
  6. Step 6: Final answer
    x = 356,381.39

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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.