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Finding the Fourth Proportional to 413,574.84, 619,490.42 and 189,124.17

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Solution

The fourth proportional to 413,574.84, 619,490.42 and 189,124.17 is: 283,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,574.84 : 619,490.42 = 189,124.17 : x
  2. Step 2: Convert to fraction form
    413,574.84/619,490.42 = 189,124.17/x
  3. Step 3: Cross multiply
    413,574.84x = 619,490.42 × 189,124.17
  4. Step 4: Simplify right side
    413,574.84x = 117,160,611,505.45
  5. Step 5: Solve for x
    x = 117,160,611,505.45/413,574.84
  6. Step 6: Final answer
    x = 283,287.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.