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Finding the Fourth Proportional to 462,257.52, 637,903.24 and 258,310.16

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Solution

The fourth proportional to 462,257.52, 637,903.24 and 258,310.16 is: 356,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,257.52 : 637,903.24 = 258,310.16 : x
  2. Step 2: Convert to fraction form
    462,257.52/637,903.24 = 258,310.16/x
  3. Step 3: Cross multiply
    462,257.52x = 637,903.24 × 258,310.16
  4. Step 4: Simplify right side
    462,257.52x = 164,776,887,988.92
  5. Step 5: Solve for x
    x = 164,776,887,988.92/462,257.52
  6. Step 6: Final answer
    x = 356,461.24

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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.