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Finding the Fourth Proportional to 468,320.72, 702,512.40 and 164,678.60

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Solution

The fourth proportional to 468,320.72, 702,512.40 and 164,678.60 is: 247,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,320.72 : 702,512.40 = 164,678.60 : x
  2. Step 2: Convert to fraction form
    468,320.72/702,512.40 = 164,678.60/x
  3. Step 3: Cross multiply
    468,320.72x = 702,512.40 × 164,678.60
  4. Step 4: Simplify right side
    468,320.72x = 115,688,758,514.64
  5. Step 5: Solve for x
    x = 115,688,758,514.64/468,320.72
  6. Step 6: Final answer
    x = 247,028.91

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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.