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Finding the Fourth Proportional to 472,864.80, 652,540.72 and 258,004.72

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Solution

The fourth proportional to 472,864.80, 652,540.72 and 258,004.72 is: 356,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,864.80 : 652,540.72 = 258,004.72 : x
  2. Step 2: Convert to fraction form
    472,864.80/652,540.72 = 258,004.72/x
  3. Step 3: Cross multiply
    472,864.80x = 652,540.72 × 258,004.72
  4. Step 4: Simplify right side
    472,864.80x = 168,358,585,752.20
  5. Step 5: Solve for x
    x = 168,358,585,752.20/472,864.80
  6. Step 6: Final answer
    x = 356,039.58

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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.