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Finding the Fourth Proportional to 472,945.20, 652,678.25 and 258,099.14

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Solution

The fourth proportional to 472,945.20, 652,678.25 and 258,099.14 is: 356,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,945.20 : 652,678.25 = 258,099.14 : x
  2. Step 2: Convert to fraction form
    472,945.20/652,678.25 = 258,099.14/x
  3. Step 3: Cross multiply
    472,945.20x = 652,678.25 × 258,099.14
  4. Step 4: Simplify right side
    472,945.20x = 168,455,695,021.71
  5. Step 5: Solve for x
    x = 168,455,695,021.71/472,945.20
  6. Step 6: Final answer
    x = 356,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.