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Finding the Fourth Proportional to 543,098.40, 814,643.55 and 164,018.40

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Solution

The fourth proportional to 543,098.40, 814,643.55 and 164,018.40 is: 246,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,098.40 : 814,643.55 = 164,018.40 : x
  2. Step 2: Convert to fraction form
    543,098.40/814,643.55 = 164,018.40/x
  3. Step 3: Cross multiply
    543,098.40x = 814,643.55 × 164,018.40
  4. Step 4: Simplify right side
    543,098.40x = 133,616,531,641.32
  5. Step 5: Solve for x
    x = 133,616,531,641.32/543,098.40
  6. Step 6: Final answer
    x = 246,026.38

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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.