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Finding the Fourth Proportional to 631,762.40, 871,819.14 and 345,284.52

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Solution

The fourth proportional to 631,762.40, 871,819.14 and 345,284.52 is: 476,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,762.40 : 871,819.14 = 345,284.52 : x
  2. Step 2: Convert to fraction form
    631,762.40/871,819.14 = 345,284.52/x
  3. Step 3: Cross multiply
    631,762.40x = 871,819.14 × 345,284.52
  4. Step 4: Simplify right side
    631,762.40x = 301,025,653,281.71
  5. Step 5: Solve for x
    x = 301,025,653,281.71/631,762.40
  6. Step 6: Final answer
    x = 476,485.55

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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.