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Finding the Fourth Proportional to 442,214.94, 610,180.11 and 260,913.18

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Solution

The fourth proportional to 442,214.94, 610,180.11 and 260,913.18 is: 360,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,214.94 : 610,180.11 = 260,913.18 : x
  2. Step 2: Convert to fraction form
    442,214.94/610,180.11 = 260,913.18/x
  3. Step 3: Cross multiply
    442,214.94x = 610,180.11 × 260,913.18
  4. Step 4: Simplify right side
    442,214.94x = 159,204,032,872.85
  5. Step 5: Solve for x
    x = 159,204,032,872.85/442,214.94
  6. Step 6: Final answer
    x = 360,015.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.