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Finding the Fourth Proportional to 631,762.78, 871,830.53 and 345,282.78

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Solution

The fourth proportional to 631,762.78, 871,830.53 and 345,282.78 is: 476,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,762.78 : 871,830.53 = 345,282.78 : x
  2. Step 2: Convert to fraction form
    631,762.78/871,830.53 = 345,282.78/x
  3. Step 3: Cross multiply
    631,762.78x = 871,830.53 × 345,282.78
  4. Step 4: Simplify right side
    631,762.78x = 301,028,069,087.27
  5. Step 5: Solve for x
    x = 301,028,069,087.27/631,762.78
  6. Step 6: Final answer
    x = 476,489.09

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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.