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Finding the Fourth Proportional to 604,283.66, 906,824.78 and 284,526.98

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Solution

The fourth proportional to 604,283.66, 906,824.78 and 284,526.98 is: 426,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,283.66 : 906,824.78 = 284,526.98 : x
  2. Step 2: Convert to fraction form
    604,283.66/906,824.78 = 284,526.98/x
  3. Step 3: Cross multiply
    604,283.66x = 906,824.78 × 284,526.98
  4. Step 4: Simplify right side
    604,283.66x = 258,016,116,042.56
  5. Step 5: Solve for x
    x = 258,016,116,042.56/604,283.66
  6. Step 6: Final answer
    x = 426,978.48

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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.