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Finding the Fourth Proportional to 462,088.97, 637,675.75 and 258,142.82

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Solution

The fourth proportional to 462,088.97, 637,675.75 and 258,142.82 is: 356,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,088.97 : 637,675.75 = 258,142.82 : x
  2. Step 2: Convert to fraction form
    462,088.97/637,675.75 = 258,142.82/x
  3. Step 3: Cross multiply
    462,088.97x = 637,675.75 × 258,142.82
  4. Step 4: Simplify right side
    462,088.97x = 164,611,415,876.20
  5. Step 5: Solve for x
    x = 164,611,415,876.20/462,088.97
  6. Step 6: Final answer
    x = 356,233.16

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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.