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Finding the Fourth Proportional to 677,648.51, 935,184.45 and 405,663.96

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Solution

The fourth proportional to 677,648.51, 935,184.45 and 405,663.96 is: 559,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,648.51 : 935,184.45 = 405,663.96 : x
  2. Step 2: Convert to fraction form
    677,648.51/935,184.45 = 405,663.96/x
  3. Step 3: Cross multiply
    677,648.51x = 935,184.45 × 405,663.96
  4. Step 4: Simplify right side
    677,648.51x = 379,370,627,317.42
  5. Step 5: Solve for x
    x = 379,370,627,317.42/677,648.51
  6. Step 6: Final answer
    x = 559,833.93

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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.