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Finding the Fourth Proportional to 460,448.98, 690,767.22 and 194,210.48

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Solution

The fourth proportional to 460,448.98, 690,767.22 and 194,210.48 is: 291,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,448.98 : 690,767.22 = 194,210.48 : x
  2. Step 2: Convert to fraction form
    460,448.98/690,767.22 = 194,210.48/x
  3. Step 3: Cross multiply
    460,448.98x = 690,767.22 × 194,210.48
  4. Step 4: Simplify right side
    460,448.98x = 134,154,233,364.47
  5. Step 5: Solve for x
    x = 134,154,233,364.47/460,448.98
  6. Step 6: Final answer
    x = 291,355.26

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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.