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Finding the Fourth Proportional to 432,854.70, 648,844.65 and 196,367.10

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Solution

The fourth proportional to 432,854.70, 648,844.65 and 196,367.10 is: 294,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,854.70 : 648,844.65 = 196,367.10 : x
  2. Step 2: Convert to fraction form
    432,854.70/648,844.65 = 196,367.10/x
  3. Step 3: Cross multiply
    432,854.70x = 648,844.65 × 196,367.10
  4. Step 4: Simplify right side
    432,854.70x = 127,411,742,271.02
  5. Step 5: Solve for x
    x = 127,411,742,271.02/432,854.70
  6. Step 6: Final answer
    x = 294,352.22

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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.