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Finding the Fourth Proportional to 402,435.40, 603,653.10 and 121,916.20

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Solution

The fourth proportional to 402,435.40, 603,653.10 and 121,916.20 is: 182,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.40 : 603,653.10 = 121,916.20 : x
  2. Step 2: Convert to fraction form
    402,435.40/603,653.10 = 121,916.20/x
  3. Step 3: Cross multiply
    402,435.40x = 603,653.10 × 121,916.20
  4. Step 4: Simplify right side
    402,435.40x = 73,595,092,070.22
  5. Step 5: Solve for x
    x = 73,595,092,070.22/402,435.40
  6. Step 6: Final answer
    x = 182,874.30

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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.