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Finding the Fourth Proportional to 284,314.93, 426,464.20 and 73,952.87

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Solution

The fourth proportional to 284,314.93, 426,464.20 and 73,952.87 is: 110,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.93 : 426,464.20 = 73,952.87 : x
  2. Step 2: Convert to fraction form
    284,314.93/426,464.20 = 73,952.87/x
  3. Step 3: Cross multiply
    284,314.93x = 426,464.20 × 73,952.87
  4. Step 4: Simplify right side
    284,314.93x = 31,538,249,040.17
  5. Step 5: Solve for x
    x = 31,538,249,040.17/284,314.93
  6. Step 6: Final answer
    x = 110,927.16

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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.