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Finding the Fourth Proportional to 338,881.10, 507,520.14 and 294,265.38

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Solution

The fourth proportional to 338,881.10, 507,520.14 and 294,265.38 is: 440,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,881.10 : 507,520.14 = 294,265.38 : x
  2. Step 2: Convert to fraction form
    338,881.10/507,520.14 = 294,265.38/x
  3. Step 3: Cross multiply
    338,881.10x = 507,520.14 × 294,265.38
  4. Step 4: Simplify right side
    338,881.10x = 149,345,606,854.75
  5. Step 5: Solve for x
    x = 149,345,606,854.75/338,881.10
  6. Step 6: Final answer
    x = 440,702.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.