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Finding the Fourth Proportional to 359,434.13, 496,019.10 and 200,458.13

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Solution

The fourth proportional to 359,434.13, 496,019.10 and 200,458.13 is: 276,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,434.13 : 496,019.10 = 200,458.13 : x
  2. Step 2: Convert to fraction form
    359,434.13/496,019.10 = 200,458.13/x
  3. Step 3: Cross multiply
    359,434.13x = 496,019.10 × 200,458.13
  4. Step 4: Simplify right side
    359,434.13x = 99,431,058,750.19
  5. Step 5: Solve for x
    x = 99,431,058,750.19/359,434.13
  6. Step 6: Final answer
    x = 276,632.22

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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.