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Finding the Fourth Proportional to 429,449.04, 592,694.11 and 259,776.72

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Solution

The fourth proportional to 429,449.04, 592,694.11 and 259,776.72 is: 358,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,449.04 : 592,694.11 = 259,776.72 : x
  2. Step 2: Convert to fraction form
    429,449.04/592,694.11 = 259,776.72/x
  3. Step 3: Cross multiply
    429,449.04x = 592,694.11 × 259,776.72
  4. Step 4: Simplify right side
    429,449.04x = 153,968,131,859.12
  5. Step 5: Solve for x
    x = 153,968,131,859.12/429,449.04
  6. Step 6: Final answer
    x = 358,524.80

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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.