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Finding the Fourth Proportional to 301,275.30, 415,772.93 and 180,393.51

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Solution

The fourth proportional to 301,275.30, 415,772.93 and 180,393.51 is: 248,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,275.30 : 415,772.93 = 180,393.51 : x
  2. Step 2: Convert to fraction form
    301,275.30/415,772.93 = 180,393.51/x
  3. Step 3: Cross multiply
    301,275.30x = 415,772.93 × 180,393.51
  4. Step 4: Simplify right side
    301,275.30x = 75,002,738,656.67
  5. Step 5: Solve for x
    x = 75,002,738,656.67/301,275.30
  6. Step 6: Final answer
    x = 248,950.84

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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.