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Finding the Fourth Proportional to 417,612.84, 576,020.34 and 266,641.80

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Solution

The fourth proportional to 417,612.84, 576,020.34 and 266,641.80 is: 367,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,612.84 : 576,020.34 = 266,641.80 : x
  2. Step 2: Convert to fraction form
    417,612.84/576,020.34 = 266,641.80/x
  3. Step 3: Cross multiply
    417,612.84x = 576,020.34 × 266,641.80
  4. Step 4: Simplify right side
    417,612.84x = 153,591,100,294.21
  5. Step 5: Solve for x
    x = 153,591,100,294.21/417,612.84
  6. Step 6: Final answer
    x = 367,783.47

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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.