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Finding the Fourth Proportional to 475,943.76, 656,832.51 and 314,515.62

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Solution

The fourth proportional to 475,943.76, 656,832.51 and 314,515.62 is: 434,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,943.76 : 656,832.51 = 314,515.62 : x
  2. Step 2: Convert to fraction form
    475,943.76/656,832.51 = 314,515.62/x
  3. Step 3: Cross multiply
    475,943.76x = 656,832.51 × 314,515.62
  4. Step 4: Simplify right side
    475,943.76x = 206,584,084,118.81
  5. Step 5: Solve for x
    x = 206,584,084,118.81/475,943.76
  6. Step 6: Final answer
    x = 434,051.46

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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.