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Finding the Fourth Proportional to 523,101.60, 784,652.40 and 144,021.60

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Solution

The fourth proportional to 523,101.60, 784,652.40 and 144,021.60 is: 216,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,101.60 : 784,652.40 = 144,021.60 : x
  2. Step 2: Convert to fraction form
    523,101.60/784,652.40 = 144,021.60/x
  3. Step 3: Cross multiply
    523,101.60x = 784,652.40 × 144,021.60
  4. Step 4: Simplify right side
    523,101.60x = 113,006,894,091.84
  5. Step 5: Solve for x
    x = 113,006,894,091.84/523,101.60
  6. Step 6: Final answer
    x = 216,032.40

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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.