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Finding the Fourth Proportional to 706,469.29, 974,897.91 and 400,566.31

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Solution

The fourth proportional to 706,469.29, 974,897.91 and 400,566.31 is: 552,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,469.29 : 974,897.91 = 400,566.31 : x
  2. Step 2: Convert to fraction form
    706,469.29/974,897.91 = 400,566.31/x
  3. Step 3: Cross multiply
    706,469.29x = 974,897.91 × 400,566.31
  4. Step 4: Simplify right side
    706,469.29x = 390,511,255,998.17
  5. Step 5: Solve for x
    x = 390,511,255,998.17/706,469.29
  6. Step 6: Final answer
    x = 552,764.66

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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.