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Finding the Fourth Proportional to 563,384.60, 845,132.10 and 164,029.40

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Solution

The fourth proportional to 563,384.60, 845,132.10 and 164,029.40 is: 246,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,384.60 : 845,132.10 = 164,029.40 : x
  2. Step 2: Convert to fraction form
    563,384.60/845,132.10 = 164,029.40/x
  3. Step 3: Cross multiply
    563,384.60x = 845,132.10 × 164,029.40
  4. Step 4: Simplify right side
    563,384.60x = 138,626,511,283.74
  5. Step 5: Solve for x
    x = 138,626,511,283.74/563,384.60
  6. Step 6: Final answer
    x = 246,060.17

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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.