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Finding the Fourth Proportional to 310,897.34, 466,351.49 and 111,360.93

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Solution

The fourth proportional to 310,897.34, 466,351.49 and 111,360.93 is: 167,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,897.34 : 466,351.49 = 111,360.93 : x
  2. Step 2: Convert to fraction form
    310,897.34/466,351.49 = 111,360.93/x
  3. Step 3: Cross multiply
    310,897.34x = 466,351.49 × 111,360.93
  4. Step 4: Simplify right side
    310,897.34x = 51,933,335,911.69
  5. Step 5: Solve for x
    x = 51,933,335,911.69/310,897.34
  6. Step 6: Final answer
    x = 167,043.36

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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.