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Finding the Fourth Proportional to 462,142.92, 637,745.48 and 258,195.38

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Solution

The fourth proportional to 462,142.92, 637,745.48 and 258,195.38 is: 356,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,142.92 : 637,745.48 = 258,195.38 : x
  2. Step 2: Convert to fraction form
    462,142.92/637,745.48 = 258,195.38/x
  3. Step 3: Cross multiply
    462,142.92x = 637,745.48 × 258,195.38
  4. Step 4: Simplify right side
    462,142.92x = 164,662,934,008.64
  5. Step 5: Solve for x
    x = 164,662,934,008.64/462,142.92
  6. Step 6: Final answer
    x = 356,303.05

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1.5x scale

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.