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Finding the Fourth Proportional to 631,588.64, 871,592.54 and 341,200.32

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Solution

The fourth proportional to 631,588.64, 871,592.54 and 341,200.32 is: 470,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,588.64 : 871,592.54 = 341,200.32 : x
  2. Step 2: Convert to fraction form
    631,588.64/871,592.54 = 341,200.32/x
  3. Step 3: Cross multiply
    631,588.64x = 871,592.54 × 341,200.32
  4. Step 4: Simplify right side
    631,588.64x = 297,387,653,557.61
  5. Step 5: Solve for x
    x = 297,387,653,557.61/631,588.64
  6. Step 6: Final answer
    x = 470,856.56

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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.