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Finding the Fourth Proportional to 402,583.10, 604,133.85 and 234,103.10

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Solution

The fourth proportional to 402,583.10, 604,133.85 and 234,103.10 is: 351,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,583.10 : 604,133.85 = 234,103.10 : x
  2. Step 2: Convert to fraction form
    402,583.10/604,133.85 = 234,103.10/x
  3. Step 3: Cross multiply
    402,583.10x = 604,133.85 × 234,103.10
  4. Step 4: Simplify right side
    402,583.10x = 141,429,607,099.94
  5. Step 5: Solve for x
    x = 141,429,607,099.94/402,583.10
  6. Step 6: Final answer
    x = 351,305.38

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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.