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Finding the Fourth Proportional to 563,841.84, 845,672.70 and 164,389.20

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Solution

The fourth proportional to 563,841.84, 845,672.70 and 164,389.20 is: 246,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,841.84 : 845,672.70 = 164,389.20 : x
  2. Step 2: Convert to fraction form
    563,841.84/845,672.70 = 164,389.20/x
  3. Step 3: Cross multiply
    563,841.84x = 845,672.70 × 164,389.20
  4. Step 4: Simplify right side
    563,841.84x = 139,019,458,614.84
  5. Step 5: Solve for x
    x = 139,019,458,614.84/563,841.84
  6. Step 6: Final answer
    x = 246,557.54

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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.