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Finding the Fourth Proportional to 462,227.60, 637,862.64 and 258,266

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Solution

The fourth proportional to 462,227.60, 637,862.64 and 258,266 is: 356,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,227.60 : 637,862.64 = 258,266 : x
  2. Step 2: Convert to fraction form
    462,227.60/637,862.64 = 258,266/x
  3. Step 3: Cross multiply
    462,227.60x = 637,862.64 × 258,266
  4. Step 4: Simplify right side
    462,227.60x = 164,738,232,582.24
  5. Step 5: Solve for x
    x = 164,738,232,582.24/462,227.60
  6. Step 6: Final answer
    x = 356,400.68

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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.