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Finding the Fourth Proportional to 316,439.14, 474,598.22 and 94,823.14

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Solution

The fourth proportional to 316,439.14, 474,598.22 and 94,823.14 is: 142,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,439.14 : 474,598.22 = 94,823.14 : x
  2. Step 2: Convert to fraction form
    316,439.14/474,598.22 = 94,823.14/x
  3. Step 3: Cross multiply
    316,439.14x = 474,598.22 × 94,823.14
  4. Step 4: Simplify right side
    316,439.14x = 45,002,892,509.37
  5. Step 5: Solve for x
    x = 45,002,892,509.37/316,439.14
  6. Step 6: Final answer
    x = 142,216.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.