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Finding the Fourth Proportional to 604,254.92, 905,947.50 and 284,227.88

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Solution

The fourth proportional to 604,254.92, 905,947.50 and 284,227.88 is: 426,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,254.92 : 905,947.50 = 284,227.88 : x
  2. Step 2: Convert to fraction form
    604,254.92/905,947.50 = 284,227.88/x
  3. Step 3: Cross multiply
    604,254.92x = 905,947.50 × 284,227.88
  4. Step 4: Simplify right side
    604,254.92x = 257,495,537,316.30
  5. Step 5: Solve for x
    x = 257,495,537,316.30/604,254.92
  6. Step 6: Final answer
    x = 426,137.26

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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.