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Finding the Fourth Proportional to 467,068.16, 644,586.84 and 265,864.16

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Solution

The fourth proportional to 467,068.16, 644,586.84 and 265,864.16 is: 366,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,068.16 : 644,586.84 = 265,864.16 : x
  2. Step 2: Convert to fraction form
    467,068.16/644,586.84 = 265,864.16/x
  3. Step 3: Cross multiply
    467,068.16x = 644,586.84 × 265,864.16
  4. Step 4: Simplify right side
    467,068.16x = 171,372,538,763.65
  5. Step 5: Solve for x
    x = 171,372,538,763.65/467,068.16
  6. Step 6: Final answer
    x = 366,911.20

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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.