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Finding the Fourth Proportional to 274,575, 412,153.64 and 243,188.81

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Solution

The fourth proportional to 274,575, 412,153.64 and 243,188.81 is: 365,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,575 : 412,153.64 = 243,188.81 : x
  2. Step 2: Convert to fraction form
    274,575/412,153.64 = 243,188.81/x
  3. Step 3: Cross multiply
    274,575x = 412,153.64 × 243,188.81
  4. Step 4: Simplify right side
    274,575x = 100,231,154,887.13
  5. Step 5: Solve for x
    x = 100,231,154,887.13/274,575
  6. Step 6: Final answer
    x = 365,041.08

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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.