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Finding the Fourth Proportional to 320,656.80, 442,423.32 and 191,542.44

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Solution

The fourth proportional to 320,656.80, 442,423.32 and 191,542.44 is: 264,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,656.80 : 442,423.32 = 191,542.44 : x
  2. Step 2: Convert to fraction form
    320,656.80/442,423.32 = 191,542.44/x
  3. Step 3: Cross multiply
    320,656.80x = 442,423.32 × 191,542.44
  4. Step 4: Simplify right side
    320,656.80x = 84,742,842,225.70
  5. Step 5: Solve for x
    x = 84,742,842,225.70/320,656.80
  6. Step 6: Final answer
    x = 264,278.95

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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.