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Finding the Fourth Proportional to 462,434.58, 693,178.90 and 234,307.60

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Solution

The fourth proportional to 462,434.58, 693,178.90 and 234,307.60 is: 351,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,434.58 : 693,178.90 = 234,307.60 : x
  2. Step 2: Convert to fraction form
    462,434.58/693,178.90 = 234,307.60/x
  3. Step 3: Cross multiply
    462,434.58x = 693,178.90 × 234,307.60
  4. Step 4: Simplify right side
    462,434.58x = 162,417,082,110.92
  5. Step 5: Solve for x
    x = 162,417,082,110.92/462,434.58
  6. Step 6: Final answer
    x = 351,221.75

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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.