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Finding the Fourth Proportional to 631,574.64, 871,573.23 and 341,186.31

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Solution

The fourth proportional to 631,574.64, 871,573.23 and 341,186.31 is: 470,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,574.64 : 871,573.23 = 341,186.31 : x
  2. Step 2: Convert to fraction form
    631,574.64/871,573.23 = 341,186.31/x
  3. Step 3: Cross multiply
    631,574.64x = 871,573.23 × 341,186.31
  4. Step 4: Simplify right side
    631,574.64x = 297,368,854,238.48
  5. Step 5: Solve for x
    x = 297,368,854,238.48/631,574.64
  6. Step 6: Final answer
    x = 470,837.23

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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.