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Finding the Fourth Proportional to 614,523.30, 921,784.96 and 193,831.98

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Solution

The fourth proportional to 614,523.30, 921,784.96 and 193,831.98 is: 290,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,523.30 : 921,784.96 = 193,831.98 : x
  2. Step 2: Convert to fraction form
    614,523.30/921,784.96 = 193,831.98/x
  3. Step 3: Cross multiply
    614,523.30x = 921,784.96 × 193,831.98
  4. Step 4: Simplify right side
    614,523.30x = 178,671,403,931.02
  5. Step 5: Solve for x
    x = 178,671,403,931.02/614,523.30
  6. Step 6: Final answer
    x = 290,747.97

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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.