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Finding the Fourth Proportional to 412,727.84, 569,686.08 and 269,510.24

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Solution

The fourth proportional to 412,727.84, 569,686.08 and 269,510.24 is: 372,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,727.84 : 569,686.08 = 269,510.24 : x
  2. Step 2: Convert to fraction form
    412,727.84/569,686.08 = 269,510.24/x
  3. Step 3: Cross multiply
    412,727.84x = 569,686.08 × 269,510.24
  4. Step 4: Simplify right side
    412,727.84x = 153,536,232,145.46
  5. Step 5: Solve for x
    x = 153,536,232,145.46/412,727.84
  6. Step 6: Final answer
    x = 372,003.58

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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.