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Finding the Fourth Proportional to 462,250.70, 637,902.85 and 258,302.13

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Solution

The fourth proportional to 462,250.70, 637,902.85 and 258,302.13 is: 356,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,250.70 : 637,902.85 = 258,302.13 : x
  2. Step 2: Convert to fraction form
    462,250.70/637,902.85 = 258,302.13/x
  3. Step 3: Cross multiply
    462,250.70x = 637,902.85 × 258,302.13
  4. Step 4: Simplify right side
    462,250.70x = 164,771,661,698.56
  5. Step 5: Solve for x
    x = 164,771,661,698.56/462,250.70
  6. Step 6: Final answer
    x = 356,455.20

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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.