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Finding the Fourth Proportional to 631,585.64, 871,588.40 and 341,197.32

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Solution

The fourth proportional to 631,585.64, 871,588.40 and 341,197.32 is: 470,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,585.64 : 871,588.40 = 341,197.32 : x
  2. Step 2: Convert to fraction form
    631,585.64/871,588.40 = 341,197.32/x
  3. Step 3: Cross multiply
    631,585.64x = 871,588.40 × 341,197.32
  4. Step 4: Simplify right side
    631,585.64x = 297,383,626,223.09
  5. Step 5: Solve for x
    x = 297,383,626,223.09/631,585.64
  6. Step 6: Final answer
    x = 470,852.42

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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.