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Finding the Fourth Proportional to 563,771.64, 845,781.84 and 164,443.66

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Solution

The fourth proportional to 563,771.64, 845,781.84 and 164,443.66 is: 246,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,771.64 : 845,781.84 = 164,443.66 : x
  2. Step 2: Convert to fraction form
    563,771.64/845,781.84 = 164,443.66/x
  3. Step 3: Cross multiply
    563,771.64x = 845,781.84 × 164,443.66
  4. Step 4: Simplify right side
    563,771.64x = 139,083,461,331.13
  5. Step 5: Solve for x
    x = 139,083,461,331.13/563,771.64
  6. Step 6: Final answer
    x = 246,701.77

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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.