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Finding the Fourth Proportional to 305,656.94, 457,888.98 and 200,156.06

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Solution

The fourth proportional to 305,656.94, 457,888.98 and 200,156.06 is: 299,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,656.94 : 457,888.98 = 200,156.06 : x
  2. Step 2: Convert to fraction form
    305,656.94/457,888.98 = 200,156.06/x
  3. Step 3: Cross multiply
    305,656.94x = 457,888.98 × 200,156.06
  4. Step 4: Simplify right side
    305,656.94x = 91,649,256,049.53
  5. Step 5: Solve for x
    x = 91,649,256,049.53/305,656.94
  6. Step 6: Final answer
    x = 299,843.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.