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Finding the Fourth Proportional to 299,186.58, 414,624.19 and 293,509.29

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Solution

The fourth proportional to 299,186.58, 414,624.19 and 293,509.29 is: 406,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,186.58 : 414,624.19 = 293,509.29 : x
  2. Step 2: Convert to fraction form
    299,186.58/414,624.19 = 293,509.29/x
  3. Step 3: Cross multiply
    299,186.58x = 414,624.19 × 293,509.29
  4. Step 4: Simplify right side
    299,186.58x = 121,696,051,623.73
  5. Step 5: Solve for x
    x = 121,696,051,623.73/299,186.58
  6. Step 6: Final answer
    x = 406,756.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.