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Finding the Fourth Proportional to 463,603.40, 695,405.10 and 164,081.60

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Solution

The fourth proportional to 463,603.40, 695,405.10 and 164,081.60 is: 246,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,603.40 : 695,405.10 = 164,081.60 : x
  2. Step 2: Convert to fraction form
    463,603.40/695,405.10 = 164,081.60/x
  3. Step 3: Cross multiply
    463,603.40x = 695,405.10 × 164,081.60
  4. Step 4: Simplify right side
    463,603.40x = 114,103,181,456.16
  5. Step 5: Solve for x
    x = 114,103,181,456.16/463,603.40
  6. Step 6: Final answer
    x = 246,122.40

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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.