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Finding the Fourth Proportional to 310,717.78, 466,076.70 and 97,518.59

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Solution

The fourth proportional to 310,717.78, 466,076.70 and 97,518.59 is: 146,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,717.78 : 466,076.70 = 97,518.59 : x
  2. Step 2: Convert to fraction form
    310,717.78/466,076.70 = 97,518.59/x
  3. Step 3: Cross multiply
    310,717.78x = 466,076.70 × 97,518.59
  4. Step 4: Simplify right side
    310,717.78x = 45,451,142,615.85
  5. Step 5: Solve for x
    x = 45,451,142,615.85/310,717.78
  6. Step 6: Final answer
    x = 146,277.89

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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.