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Finding the Fourth Proportional to 397,334.70, 596,002.05 and 116,851.95

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Solution

The fourth proportional to 397,334.70, 596,002.05 and 116,851.95 is: 175,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,334.70 : 596,002.05 = 116,851.95 : x
  2. Step 2: Convert to fraction form
    397,334.70/596,002.05 = 116,851.95/x
  3. Step 3: Cross multiply
    397,334.70x = 596,002.05 × 116,851.95
  4. Step 4: Simplify right side
    397,334.70x = 69,644,001,746.50
  5. Step 5: Solve for x
    x = 69,644,001,746.50/397,334.70
  6. Step 6: Final answer
    x = 175,277.93

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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.