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Finding the Fourth Proportional to 301,403.98, 415,867.71 and 180,499.42

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Solution

The fourth proportional to 301,403.98, 415,867.71 and 180,499.42 is: 249,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403.98 : 415,867.71 = 180,499.42 : x
  2. Step 2: Convert to fraction form
    301,403.98/415,867.71 = 180,499.42/x
  3. Step 3: Cross multiply
    301,403.98x = 415,867.71 × 180,499.42
  4. Step 4: Simplify right side
    301,403.98x = 75,063,880,451.73
  5. Step 5: Solve for x
    x = 75,063,880,451.73/301,403.98
  6. Step 6: Final answer
    x = 249,047.41

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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.