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Finding the Fourth Proportional to 359,969.24, 496,762.80 and 209,066.24

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Solution

The fourth proportional to 359,969.24, 496,762.80 and 209,066.24 is: 288,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,969.24 : 496,762.80 = 209,066.24 : x
  2. Step 2: Convert to fraction form
    359,969.24/496,762.80 = 209,066.24/x
  3. Step 3: Cross multiply
    359,969.24x = 496,762.80 × 209,066.24
  4. Step 4: Simplify right side
    359,969.24x = 103,856,330,767.87
  5. Step 5: Solve for x
    x = 103,856,330,767.87/359,969.24
  6. Step 6: Final answer
    x = 288,514.46

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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.