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Finding the Fourth Proportional to 429,103.32, 592,178.40 and 259,304.64

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Solution

The fourth proportional to 429,103.32, 592,178.40 and 259,304.64 is: 357,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,103.32 : 592,178.40 = 259,304.64 : x
  2. Step 2: Convert to fraction form
    429,103.32/592,178.40 = 259,304.64/x
  3. Step 3: Cross multiply
    429,103.32x = 592,178.40 × 259,304.64
  4. Step 4: Simplify right side
    429,103.32x = 153,554,606,827.78
  5. Step 5: Solve for x
    x = 153,554,606,827.78/429,103.32
  6. Step 6: Final answer
    x = 357,849.96

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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.