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Finding the Fourth Proportional to 429,476.90, 644,214.66 and 109,628.74

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Solution

The fourth proportional to 429,476.90, 644,214.66 and 109,628.74 is: 164,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,476.90 : 644,214.66 = 109,628.74 : x
  2. Step 2: Convert to fraction form
    429,476.90/644,214.66 = 109,628.74/x
  3. Step 3: Cross multiply
    429,476.90x = 644,214.66 × 109,628.74
  4. Step 4: Simplify right side
    429,476.90x = 70,624,441,465.33
  5. Step 5: Solve for x
    x = 70,624,441,465.33/429,476.90
  6. Step 6: Final answer
    x = 164,442.93

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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.