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Finding the Fourth Proportional to 511,520.10, 705,936.24 and 296,658.24

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Solution

The fourth proportional to 511,520.10, 705,936.24 and 296,658.24 is: 409,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,520.10 : 705,936.24 = 296,658.24 : x
  2. Step 2: Convert to fraction form
    511,520.10/705,936.24 = 296,658.24/x
  3. Step 3: Cross multiply
    511,520.10x = 705,936.24 × 296,658.24
  4. Step 4: Simplify right side
    511,520.10x = 209,421,802,510.62
  5. Step 5: Solve for x
    x = 209,421,802,510.62/511,520.10
  6. Step 6: Final answer
    x = 409,410.70

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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.