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Finding the Fourth Proportional to 430,712.15, 641,648.25 and 411,281.36

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Solution

The fourth proportional to 430,712.15, 641,648.25 and 411,281.36 is: 612,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,712.15 : 641,648.25 = 411,281.36 : x
  2. Step 2: Convert to fraction form
    430,712.15/641,648.25 = 411,281.36/x
  3. Step 3: Cross multiply
    430,712.15x = 641,648.25 × 411,281.36
  4. Step 4: Simplify right side
    430,712.15x = 263,897,962,845.21
  5. Step 5: Solve for x
    x = 263,897,962,845.21/430,712.15
  6. Step 6: Final answer
    x = 612,701.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.