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Finding the Fourth Proportional to 559,864.83, 772,590.48 and 314,842.59

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Solution

The fourth proportional to 559,864.83, 772,590.48 and 314,842.59 is: 434,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,864.83 : 772,590.48 = 314,842.59 : x
  2. Step 2: Convert to fraction form
    559,864.83/772,590.48 = 314,842.59/x
  3. Step 3: Cross multiply
    559,864.83x = 772,590.48 × 314,842.59
  4. Step 4: Simplify right side
    559,864.83x = 243,244,387,732.54
  5. Step 5: Solve for x
    x = 243,244,387,732.54/559,864.83
  6. Step 6: Final answer
    x = 434,469.85

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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.