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Finding the Fourth Proportional to 460,448.48, 690,766.47 and 194,209.98

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Solution

The fourth proportional to 460,448.48, 690,766.47 and 194,209.98 is: 291,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,448.48 : 690,766.47 = 194,209.98 : x
  2. Step 2: Convert to fraction form
    460,448.48/690,766.47 = 194,209.98/x
  3. Step 3: Cross multiply
    460,448.48x = 690,766.47 × 194,209.98
  4. Step 4: Simplify right side
    460,448.48x = 134,153,742,323.37
  5. Step 5: Solve for x
    x = 134,153,742,323.37/460,448.48
  6. Step 6: Final answer
    x = 291,354.51

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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.