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Finding the Fourth Proportional to 314,831.96, 472,387.52 and 165,036.50

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Solution

The fourth proportional to 314,831.96, 472,387.52 and 165,036.50 is: 247,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,831.96 : 472,387.52 = 165,036.50 : x
  2. Step 2: Convert to fraction form
    314,831.96/472,387.52 = 165,036.50/x
  3. Step 3: Cross multiply
    314,831.96x = 472,387.52 × 165,036.50
  4. Step 4: Simplify right side
    314,831.96x = 77,961,182,944.48
  5. Step 5: Solve for x
    x = 77,961,182,944.48/314,831.96
  6. Step 6: Final answer
    x = 247,627.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.