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Finding the Fourth Proportional to 375,778.15, 518,606.48 and 206,045.08

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Solution

The fourth proportional to 375,778.15, 518,606.48 and 206,045.08 is: 284,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,778.15 : 518,606.48 = 206,045.08 : x
  2. Step 2: Convert to fraction form
    375,778.15/518,606.48 = 206,045.08/x
  3. Step 3: Cross multiply
    375,778.15x = 518,606.48 × 206,045.08
  4. Step 4: Simplify right side
    375,778.15x = 106,856,312,878.72
  5. Step 5: Solve for x
    x = 106,856,312,878.72/375,778.15
  6. Step 6: Final answer
    x = 284,360.10

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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.