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Finding the Fourth Proportional to 359,971.24, 496,765.56 and 209,068.24

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Solution

The fourth proportional to 359,971.24, 496,765.56 and 209,068.24 is: 288,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,971.24 : 496,765.56 = 209,068.24 : x
  2. Step 2: Convert to fraction form
    359,971.24/496,765.56 = 209,068.24/x
  3. Step 3: Cross multiply
    359,971.24x = 496,765.56 × 209,068.24
  4. Step 4: Simplify right side
    359,971.24x = 103,857,901,321.81
  5. Step 5: Solve for x
    x = 103,857,901,321.81/359,971.24
  6. Step 6: Final answer
    x = 288,517.22

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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.