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Finding the Fourth Proportional to 375,220.16, 517,831.08 and 214,078.76

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Solution

The fourth proportional to 375,220.16, 517,831.08 and 214,078.76 is: 295,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,220.16 : 517,831.08 = 214,078.76 : x
  2. Step 2: Convert to fraction form
    375,220.16/517,831.08 = 214,078.76/x
  3. Step 3: Cross multiply
    375,220.16x = 517,831.08 × 214,078.76
  4. Step 4: Simplify right side
    375,220.16x = 110,856,635,495.86
  5. Step 5: Solve for x
    x = 110,856,635,495.86/375,220.16
  6. Step 6: Final answer
    x = 295,444.24

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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.