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Finding the Fourth Proportional to 412,386.98, 569,067.09 and 242,588.30

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Solution

The fourth proportional to 412,386.98, 569,067.09 and 242,588.30 is: 334,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,386.98 : 569,067.09 = 242,588.30 : x
  2. Step 2: Convert to fraction form
    412,386.98/569,067.09 = 242,588.30/x
  3. Step 3: Cross multiply
    412,386.98x = 569,067.09 × 242,588.30
  4. Step 4: Simplify right side
    412,386.98x = 138,049,017,949.05
  5. Step 5: Solve for x
    x = 138,049,017,949.05/412,386.98
  6. Step 6: Final answer
    x = 334,756.01

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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.