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Finding the Fourth Proportional to 432,011.40, 648,017.10 and 414,515.40

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Solution

The fourth proportional to 432,011.40, 648,017.10 and 414,515.40 is: 621,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,011.40 : 648,017.10 = 414,515.40 : x
  2. Step 2: Convert to fraction form
    432,011.40/648,017.10 = 414,515.40/x
  3. Step 3: Cross multiply
    432,011.40x = 648,017.10 × 414,515.40
  4. Step 4: Simplify right side
    432,011.40x = 268,613,067,413.34
  5. Step 5: Solve for x
    x = 268,613,067,413.34/432,011.40
  6. Step 6: Final answer
    x = 621,773.10

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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.