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Finding the Fourth Proportional to 429,409.20, 642,801.60 and 429,409.20

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Solution

The fourth proportional to 429,409.20, 642,801.60 and 429,409.20 is: 642,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,409.20 : 642,801.60 = 429,409.20 : x
  2. Step 2: Convert to fraction form
    429,409.20/642,801.60 = 429,409.20/x
  3. Step 3: Cross multiply
    429,409.20x = 642,801.60 × 429,409.20
  4. Step 4: Simplify right side
    429,409.20x = 276,024,920,814.72
  5. Step 5: Solve for x
    x = 276,024,920,814.72/429,409.20
  6. Step 6: Final answer
    x = 642,801.60

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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.