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Finding the Fourth Proportional to 313,831.84, 472,455.28 and 285,931.12

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Solution

The fourth proportional to 313,831.84, 472,455.28 and 285,931.12 is: 430,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,831.84 : 472,455.28 = 285,931.12 : x
  2. Step 2: Convert to fraction form
    313,831.84/472,455.28 = 285,931.12/x
  3. Step 3: Cross multiply
    313,831.84x = 472,455.28 × 285,931.12
  4. Step 4: Simplify right side
    313,831.84x = 135,089,667,360.31
  5. Step 5: Solve for x
    x = 135,089,667,360.31/313,831.84
  6. Step 6: Final answer
    x = 430,452.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.