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Finding the Fourth Proportional to 301,151.61, 415,623.95 and 180,292.82

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Solution

The fourth proportional to 301,151.61, 415,623.95 and 180,292.82 is: 248,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,151.61 : 415,623.95 = 180,292.82 : x
  2. Step 2: Convert to fraction form
    301,151.61/415,623.95 = 180,292.82/x
  3. Step 3: Cross multiply
    301,151.61x = 415,623.95 × 180,292.82
  4. Step 4: Simplify right side
    301,151.61x = 74,934,016,680.23
  5. Step 5: Solve for x
    x = 74,934,016,680.23/301,151.61
  6. Step 6: Final answer
    x = 248,824.89

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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.