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Finding the Fourth Proportional to 434,178, 599,184.02 and 252,860.70

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Solution

The fourth proportional to 434,178, 599,184.02 and 252,860.70 is: 348,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,178 : 599,184.02 = 252,860.70 : x
  2. Step 2: Convert to fraction form
    434,178/599,184.02 = 252,860.70/x
  3. Step 3: Cross multiply
    434,178x = 599,184.02 × 252,860.70
  4. Step 4: Simplify right side
    434,178x = 151,510,090,726.01
  5. Step 5: Solve for x
    x = 151,510,090,726.01/434,178
  6. Step 6: Final answer
    x = 348,958.47

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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.