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Finding the Fourth Proportional to 414,468.02, 621,702.00 and 114,948.60

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Solution

The fourth proportional to 414,468.02, 621,702.00 and 114,948.60 is: 172,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.02 : 621,702.00 = 114,948.60 : x
  2. Step 2: Convert to fraction form
    414,468.02/621,702.00 = 114,948.60/x
  3. Step 3: Cross multiply
    414,468.02x = 621,702.00 × 114,948.60
  4. Step 4: Simplify right side
    414,468.02x = 71,463,773,567.04
  5. Step 5: Solve for x
    x = 71,463,773,567.04/414,468.02
  6. Step 6: Final answer
    x = 172,422.89

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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.