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Finding the Fourth Proportional to 614,938.40, 922,407.60 and 194,256.80

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Solution

The fourth proportional to 614,938.40, 922,407.60 and 194,256.80 is: 291,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,938.40 : 922,407.60 = 194,256.80 : x
  2. Step 2: Convert to fraction form
    614,938.40/922,407.60 = 194,256.80/x
  3. Step 3: Cross multiply
    614,938.40x = 922,407.60 × 194,256.80
  4. Step 4: Simplify right side
    614,938.40x = 179,183,948,671.68
  5. Step 5: Solve for x
    x = 179,183,948,671.68/614,938.40
  6. Step 6: Final answer
    x = 291,385.20

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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.