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Finding the Fourth Proportional to 429,496.42, 592,713.05 and 238,527.58

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Solution

The fourth proportional to 429,496.42, 592,713.05 and 238,527.58 is: 329,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,496.42 : 592,713.05 = 238,527.58 : x
  2. Step 2: Convert to fraction form
    429,496.42/592,713.05 = 238,527.58/x
  3. Step 3: Cross multiply
    429,496.42x = 592,713.05 × 238,527.58
  4. Step 4: Simplify right side
    429,496.42x = 141,378,409,450.92
  5. Step 5: Solve for x
    x = 141,378,409,450.92/429,496.42
  6. Step 6: Final answer
    x = 329,172.50

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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.