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Finding the Fourth Proportional to 472,967.01, 652,708.23 and 258,120.90

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Solution

The fourth proportional to 472,967.01, 652,708.23 and 258,120.90 is: 356,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,967.01 : 652,708.23 = 258,120.90 : x
  2. Step 2: Convert to fraction form
    472,967.01/652,708.23 = 258,120.90/x
  3. Step 3: Cross multiply
    472,967.01x = 652,708.23 × 258,120.90
  4. Step 4: Simplify right side
    472,967.01x = 168,477,635,765.01
  5. Step 5: Solve for x
    x = 168,477,635,765.01/472,967.01
  6. Step 6: Final answer
    x = 356,214.35

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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.