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Finding the Fourth Proportional to 505,972.92, 698,243.31 and 291,108.68

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Solution

The fourth proportional to 505,972.92, 698,243.31 and 291,108.68 is: 401,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,972.92 : 698,243.31 = 291,108.68 : x
  2. Step 2: Convert to fraction form
    505,972.92/698,243.31 = 291,108.68/x
  3. Step 3: Cross multiply
    505,972.92x = 698,243.31 × 291,108.68
  4. Step 4: Simplify right side
    505,972.92x = 203,264,684,801.71
  5. Step 5: Solve for x
    x = 203,264,684,801.71/505,972.92
  6. Step 6: Final answer
    x = 401,730.36

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Double scale
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1.5x scale

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.