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Finding the Fourth Proportional to 402,681.79, 604,026.32 and 122,199.04

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Solution

The fourth proportional to 402,681.79, 604,026.32 and 122,199.04 is: 183,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,681.79 : 604,026.32 = 122,199.04 : x
  2. Step 2: Convert to fraction form
    402,681.79/604,026.32 = 122,199.04/x
  3. Step 3: Cross multiply
    402,681.79x = 604,026.32 × 122,199.04
  4. Step 4: Simplify right side
    402,681.79x = 73,811,436,438.73
  5. Step 5: Solve for x
    x = 73,811,436,438.73/402,681.79
  6. Step 6: Final answer
    x = 183,299.66

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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.