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Finding the Fourth Proportional to 413,145.90, 619,718.85 and 368,045.10

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Solution

The fourth proportional to 413,145.90, 619,718.85 and 368,045.10 is: 552,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,145.90 : 619,718.85 = 368,045.10 : x
  2. Step 2: Convert to fraction form
    413,145.90/619,718.85 = 368,045.10/x
  3. Step 3: Cross multiply
    413,145.90x = 619,718.85 × 368,045.10
  4. Step 4: Simplify right side
    413,145.90x = 228,084,486,120.14
  5. Step 5: Solve for x
    x = 228,084,486,120.14/413,145.90
  6. Step 6: Final answer
    x = 552,067.65

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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.