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Finding the Fourth Proportional to 634,808.64, 952,218.54 and 161,494.50

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Solution

The fourth proportional to 634,808.64, 952,218.54 and 161,494.50 is: 242,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,808.64 : 952,218.54 = 161,494.50 : x
  2. Step 2: Convert to fraction form
    634,808.64/952,218.54 = 161,494.50/x
  3. Step 3: Cross multiply
    634,808.64x = 952,218.54 × 161,494.50
  4. Step 4: Simplify right side
    634,808.64x = 153,778,057,008.03
  5. Step 5: Solve for x
    x = 153,778,057,008.03/634,808.64
  6. Step 6: Final answer
    x = 242,243.17

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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.