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Finding the Fourth Proportional to 412,616.81, 569,490.76 and 269,127.74

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Solution

The fourth proportional to 412,616.81, 569,490.76 and 269,127.74 is: 371,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,616.81 : 569,490.76 = 269,127.74 : x
  2. Step 2: Convert to fraction form
    412,616.81/569,490.76 = 269,127.74/x
  3. Step 3: Cross multiply
    412,616.81x = 569,490.76 × 269,127.74
  4. Step 4: Simplify right side
    412,616.81x = 153,265,758,678.64
  5. Step 5: Solve for x
    x = 153,265,758,678.64/412,616.81
  6. Step 6: Final answer
    x = 371,448.17

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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.