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Finding the Fourth Proportional to 413,009.90, 619,514.88 and 146,780.93

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Solution

The fourth proportional to 413,009.90, 619,514.88 and 146,780.93 is: 220,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,009.90 : 619,514.88 = 146,780.93 : x
  2. Step 2: Convert to fraction form
    413,009.90/619,514.88 = 146,780.93/x
  3. Step 3: Cross multiply
    413,009.90x = 619,514.88 × 146,780.93
  4. Step 4: Simplify right side
    413,009.90x = 90,932,967,137.66
  5. Step 5: Solve for x
    x = 90,932,967,137.66/413,009.90
  6. Step 6: Final answer
    x = 220,171.40

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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.