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Finding the Fourth Proportional to 706,733.76, 975,076.73 and 400,794.33

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Solution

The fourth proportional to 706,733.76, 975,076.73 and 400,794.33 is: 552,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,733.76 : 975,076.73 = 400,794.33 : x
  2. Step 2: Convert to fraction form
    706,733.76/975,076.73 = 400,794.33/x
  3. Step 3: Cross multiply
    706,733.76x = 975,076.73 × 400,794.33
  4. Step 4: Simplify right side
    706,733.76x = 390,805,217,819.59
  5. Step 5: Solve for x
    x = 390,805,217,819.59/706,733.76
  6. Step 6: Final answer
    x = 552,973.75

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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.