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Finding the Fourth Proportional to 614,829.60, 922,244.40 and 194,050.80

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Solution

The fourth proportional to 614,829.60, 922,244.40 and 194,050.80 is: 291,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,829.60 : 922,244.40 = 194,050.80 : x
  2. Step 2: Convert to fraction form
    614,829.60/922,244.40 = 194,050.80/x
  3. Step 3: Cross multiply
    614,829.60x = 922,244.40 × 194,050.80
  4. Step 4: Simplify right side
    614,829.60x = 178,962,263,615.52
  5. Step 5: Solve for x
    x = 178,962,263,615.52/614,829.60
  6. Step 6: Final answer
    x = 291,076.20

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Why These Related Problems?

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