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Finding the Fourth Proportional to 315,288.24, 472,927.38 and 146,714.28

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Solution

The fourth proportional to 315,288.24, 472,927.38 and 146,714.28 is: 220,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,288.24 : 472,927.38 = 146,714.28 : x
  2. Step 2: Convert to fraction form
    315,288.24/472,927.38 = 146,714.28/x
  3. Step 3: Cross multiply
    315,288.24x = 472,927.38 × 146,714.28
  4. Step 4: Simplify right side
    315,288.24x = 69,385,200,048.99
  5. Step 5: Solve for x
    x = 69,385,200,048.99/315,288.24
  6. Step 6: Final answer
    x = 220,069.10

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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.