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Finding the Fourth Proportional to 429,404.10, 644,106.15 and 429,404.10

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Solution

The fourth proportional to 429,404.10, 644,106.15 and 429,404.10 is: 644,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,404.10 : 644,106.15 = 429,404.10 : x
  2. Step 2: Convert to fraction form
    429,404.10/644,106.15 = 429,404.10/x
  3. Step 3: Cross multiply
    429,404.10x = 644,106.15 × 429,404.10
  4. Step 4: Simplify right side
    429,404.10x = 276,581,821,645.22
  5. Step 5: Solve for x
    x = 276,581,821,645.22/429,404.10
  6. Step 6: Final answer
    x = 644,106.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.