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Finding the Fourth Proportional to 403,838.32, 605,371.74 and 151,050.28

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Solution

The fourth proportional to 403,838.32, 605,371.74 and 151,050.28 is: 226,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,838.32 : 605,371.74 = 151,050.28 : x
  2. Step 2: Convert to fraction form
    403,838.32/605,371.74 = 151,050.28/x
  3. Step 3: Cross multiply
    403,838.32x = 605,371.74 × 151,050.28
  4. Step 4: Simplify right side
    403,838.32x = 91,441,570,831.09
  5. Step 5: Solve for x
    x = 91,441,570,831.09/403,838.32
  6. Step 6: Final answer
    x = 226,431.14

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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.