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Finding the Fourth Proportional to 1,297,806.21, 1,946,933.51 and 578,403.50

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Solution

The fourth proportional to 1,297,806.21, 1,946,933.51 and 578,403.50 is: 867,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,806.21 : 1,946,933.51 = 578,403.50 : x
  2. Step 2: Convert to fraction form
    1,297,806.21/1,946,933.51 = 578,403.50/x
  3. Step 3: Cross multiply
    1,297,806.21x = 1,946,933.51 × 578,403.50
  4. Step 4: Simplify right side
    1,297,806.21x = 1,126,113,143,824.60
  5. Step 5: Solve for x
    x = 1,126,113,143,824.60/1,297,806.21
  6. Step 6: Final answer
    x = 867,705.16

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Why These Related Problems?

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