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Finding the Fourth Proportional to 359,926, 496,697.92 and 209,032.72

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Solution

The fourth proportional to 359,926, 496,697.92 and 209,032.72 is: 288,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,926 : 496,697.92 = 209,032.72 : x
  2. Step 2: Convert to fraction form
    359,926/496,697.92 = 209,032.72/x
  3. Step 3: Cross multiply
    359,926x = 496,697.92 × 209,032.72
  4. Step 4: Simplify right side
    359,926x = 103,826,117,235.94
  5. Step 5: Solve for x
    x = 103,826,117,235.94/359,926
  6. Step 6: Final answer
    x = 288,465.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.