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Finding the Fourth Proportional to 463,744.60, 695,649.30 and 183,225.40

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Solution

The fourth proportional to 463,744.60, 695,649.30 and 183,225.40 is: 274,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.60 : 695,649.30 = 183,225.40 : x
  2. Step 2: Convert to fraction form
    463,744.60/695,649.30 = 183,225.40/x
  3. Step 3: Cross multiply
    463,744.60x = 695,649.30 × 183,225.40
  4. Step 4: Simplify right side
    463,744.60x = 127,460,621,252.22
  5. Step 5: Solve for x
    x = 127,460,621,252.22/463,744.60
  6. Step 6: Final answer
    x = 274,850.90

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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.