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Finding the Fourth Proportional to 422,666.18, 633,703.94 and 156,392.13

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Solution

The fourth proportional to 422,666.18, 633,703.94 and 156,392.13 is: 234,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.18 : 633,703.94 = 156,392.13 : x
  2. Step 2: Convert to fraction form
    422,666.18/633,703.94 = 156,392.13/x
  3. Step 3: Cross multiply
    422,666.18x = 633,703.94 × 156,392.13
  4. Step 4: Simplify right side
    422,666.18x = 99,106,308,965.99
  5. Step 5: Solve for x
    x = 99,106,308,965.99/422,666.18
  6. Step 6: Final answer
    x = 234,478.92

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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.