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Finding the Fourth Proportional to 562,565.20, 776,256.49 and 341,687.62

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Solution

The fourth proportional to 562,565.20, 776,256.49 and 341,687.62 is: 471,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,565.20 : 776,256.49 = 341,687.62 : x
  2. Step 2: Convert to fraction form
    562,565.20/776,256.49 = 341,687.62/x
  3. Step 3: Cross multiply
    562,565.20x = 776,256.49 × 341,687.62
  4. Step 4: Simplify right side
    562,565.20x = 265,237,232,577.65
  5. Step 5: Solve for x
    x = 265,237,232,577.65/562,565.20
  6. Step 6: Final answer
    x = 471,478.21

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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.