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Finding the Fourth Proportional to 5,210,756.68, 7,815,760.56 and 1,616,430.40

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Solution

The fourth proportional to 5,210,756.68, 7,815,760.56 and 1,616,430.40 is: 2,424,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,756.68 : 7,815,760.56 = 1,616,430.40 : x
  2. Step 2: Convert to fraction form
    5,210,756.68/7,815,760.56 = 1,616,430.40/x
  3. Step 3: Cross multiply
    5,210,756.68x = 7,815,760.56 × 1,616,430.40
  4. Step 4: Simplify right side
    5,210,756.68x = 12,633,632,968,305.02
  5. Step 5: Solve for x
    x = 12,633,632,968,305.02/5,210,756.68
  6. Step 6: Final answer
    x = 2,424,529.44

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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.