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Finding the Fourth Proportional to 1,297,794.96, 1,946,916.61 and 578,392.25

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Solution

The fourth proportional to 1,297,794.96, 1,946,916.61 and 578,392.25 is: 867,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,794.96 : 1,946,916.61 = 578,392.25 : x
  2. Step 2: Convert to fraction form
    1,297,794.96/1,946,916.61 = 578,392.25/x
  3. Step 3: Cross multiply
    1,297,794.96x = 1,946,916.61 × 578,392.25
  4. Step 4: Simplify right side
    1,297,794.96x = 1,126,081,467,439.71
  5. Step 5: Solve for x
    x = 1,126,081,467,439.71/1,297,794.96
  6. Step 6: Final answer
    x = 867,688.27

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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.