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Finding the Fourth Proportional to 359,409.30, 537,992.10 and 264,746.22

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Solution

The fourth proportional to 359,409.30, 537,992.10 and 264,746.22 is: 396,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,409.30 : 537,992.10 = 264,746.22 : x
  2. Step 2: Convert to fraction form
    359,409.30/537,992.10 = 264,746.22/x
  3. Step 3: Cross multiply
    359,409.30x = 537,992.10 × 264,746.22
  4. Step 4: Simplify right side
    359,409.30x = 142,431,374,864.86
  5. Step 5: Solve for x
    x = 142,431,374,864.86/359,409.30
  6. Step 6: Final answer
    x = 396,292.96

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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.