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Finding the Fourth Proportional to 463,710.12, 694,659.62 and 319,590.16

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Solution

The fourth proportional to 463,710.12, 694,659.62 and 319,590.16 is: 478,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,710.12 : 694,659.62 = 319,590.16 : x
  2. Step 2: Convert to fraction form
    463,710.12/694,659.62 = 319,590.16/x
  3. Step 3: Cross multiply
    463,710.12x = 694,659.62 × 319,590.16
  4. Step 4: Simplify right side
    463,710.12x = 222,006,379,101.34
  5. Step 5: Solve for x
    x = 222,006,379,101.34/463,710.12
  6. Step 6: Final answer
    x = 478,761.13

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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.