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Finding the Fourth Proportional to 359,106.40, 538,659.60 and 300,057.40

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Solution

The fourth proportional to 359,106.40, 538,659.60 and 300,057.40 is: 450,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,106.40 : 538,659.60 = 300,057.40 : x
  2. Step 2: Convert to fraction form
    359,106.40/538,659.60 = 300,057.40/x
  3. Step 3: Cross multiply
    359,106.40x = 538,659.60 × 300,057.40
  4. Step 4: Simplify right side
    359,106.40x = 161,628,799,061.04
  5. Step 5: Solve for x
    x = 161,628,799,061.04/359,106.40
  6. Step 6: Final answer
    x = 450,086.10

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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.