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Finding the Fourth Proportional to 462,333.68, 638,018.46 and 258,384.48

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Solution

The fourth proportional to 462,333.68, 638,018.46 and 258,384.48 is: 356,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,333.68 : 638,018.46 = 258,384.48 : x
  2. Step 2: Convert to fraction form
    462,333.68/638,018.46 = 258,384.48/x
  3. Step 3: Cross multiply
    462,333.68x = 638,018.46 × 258,384.48
  4. Step 4: Simplify right side
    462,333.68x = 164,854,070,485.52
  5. Step 5: Solve for x
    x = 164,854,070,485.52/462,333.68
  6. Step 6: Final answer
    x = 356,569.46

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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.