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Finding the Fourth Proportional to 566,831.74, 782,191.92 and 312,182.93

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Solution

The fourth proportional to 566,831.74, 782,191.92 and 312,182.93 is: 430,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,831.74 : 782,191.92 = 312,182.93 : x
  2. Step 2: Convert to fraction form
    566,831.74/782,191.92 = 312,182.93/x
  3. Step 3: Cross multiply
    566,831.74x = 782,191.92 × 312,182.93
  4. Step 4: Simplify right side
    566,831.74x = 244,186,961,500.22
  5. Step 5: Solve for x
    x = 244,186,961,500.22/566,831.74
  6. Step 6: Final answer
    x = 430,792.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.