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Finding the Fourth Proportional to 564,855.63, 847,282.98 and 144,131.50

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Solution

The fourth proportional to 564,855.63, 847,282.98 and 144,131.50 is: 216,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,855.63 : 847,282.98 = 144,131.50 : x
  2. Step 2: Convert to fraction form
    564,855.63/847,282.98 = 144,131.50/x
  3. Step 3: Cross multiply
    564,855.63x = 847,282.98 × 144,131.50
  4. Step 4: Simplify right side
    564,855.63x = 122,120,168,431.47
  5. Step 5: Solve for x
    x = 122,120,168,431.47/564,855.63
  6. Step 6: Final answer
    x = 216,197.14

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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.