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Finding the Fourth Proportional to 523,453.60, 785,235.00 and 144,374.40

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Solution

The fourth proportional to 523,453.60, 785,235.00 and 144,374.40 is: 216,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,453.60 : 785,235.00 = 144,374.40 : x
  2. Step 2: Convert to fraction form
    523,453.60/785,235.00 = 144,374.40/x
  3. Step 3: Cross multiply
    523,453.60x = 785,235.00 × 144,374.40
  4. Step 4: Simplify right side
    523,453.60x = 113,367,833,166.62
  5. Step 5: Solve for x
    x = 113,367,833,166.62/523,453.60
  6. Step 6: Final answer
    x = 216,576.66

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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.