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Finding the Fourth Proportional to 359,635.68, 496,465.20 and 208,703.52

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Solution

The fourth proportional to 359,635.68, 496,465.20 and 208,703.52 is: 288,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,635.68 : 496,465.20 = 208,703.52 : x
  2. Step 2: Convert to fraction form
    359,635.68/496,465.20 = 208,703.52/x
  3. Step 3: Cross multiply
    359,635.68x = 496,465.20 × 208,703.52
  4. Step 4: Simplify right side
    359,635.68x = 103,614,034,797.50
  5. Step 5: Solve for x
    x = 103,614,034,797.50/359,635.68
  6. Step 6: Final answer
    x = 288,108.33

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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.