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Finding the Fourth Proportional to 523,533.84, 785,201.34 and 144,360.84

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Solution

The fourth proportional to 523,533.84, 785,201.34 and 144,360.84 is: 216,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,533.84 : 785,201.34 = 144,360.84 : x
  2. Step 2: Convert to fraction form
    523,533.84/785,201.34 = 144,360.84/x
  3. Step 3: Cross multiply
    523,533.84x = 785,201.34 × 144,360.84
  4. Step 4: Simplify right side
    523,533.84x = 113,352,325,011.53
  5. Step 5: Solve for x
    x = 113,352,325,011.53/523,533.84
  6. Step 6: Final answer
    x = 216,513.85

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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.