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Finding the Fourth Proportional to 310,917.48, 466,128.14 and 175,898.25

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Solution

The fourth proportional to 310,917.48, 466,128.14 and 175,898.25 is: 263,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,917.48 : 466,128.14 = 175,898.25 : x
  2. Step 2: Convert to fraction form
    310,917.48/466,128.14 = 175,898.25/x
  3. Step 3: Cross multiply
    310,917.48x = 466,128.14 × 175,898.25
  4. Step 4: Simplify right side
    310,917.48x = 81,991,123,222.26
  5. Step 5: Solve for x
    x = 81,991,123,222.26/310,917.48
  6. Step 6: Final answer
    x = 263,707.02

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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.