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Finding the Fourth Proportional to 462,251.70, 637,904.23 and 258,303.13

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Solution

The fourth proportional to 462,251.70, 637,904.23 and 258,303.13 is: 356,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,251.70 : 637,904.23 = 258,303.13 : x
  2. Step 2: Convert to fraction form
    462,251.70/637,904.23 = 258,303.13/x
  3. Step 3: Cross multiply
    462,251.70x = 637,904.23 × 258,303.13
  4. Step 4: Simplify right side
    462,251.70x = 164,772,659,249.24
  5. Step 5: Solve for x
    x = 164,772,659,249.24/462,251.70
  6. Step 6: Final answer
    x = 356,456.58

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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.