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Finding the Fourth Proportional to 397,307, 596,335.02 and 144,831.52

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Solution

The fourth proportional to 397,307, 596,335.02 and 144,831.52 is: 217,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,307 : 596,335.02 = 144,831.52 : x
  2. Step 2: Convert to fraction form
    397,307/596,335.02 = 144,831.52/x
  3. Step 3: Cross multiply
    397,307x = 596,335.02 × 144,831.52
  4. Step 4: Simplify right side
    397,307x = 86,368,107,375.83
  5. Step 5: Solve for x
    x = 86,368,107,375.83/397,307
  6. Step 6: Final answer
    x = 217,383.80

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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.