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Finding the Fourth Proportional to 522,077.10, 783,115.65 and 242,141.10

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Solution

The fourth proportional to 522,077.10, 783,115.65 and 242,141.10 is: 363,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,077.10 : 783,115.65 = 242,141.10 : x
  2. Step 2: Convert to fraction form
    522,077.10/783,115.65 = 242,141.10/x
  3. Step 3: Cross multiply
    522,077.10x = 783,115.65 × 242,141.10
  4. Step 4: Simplify right side
    522,077.10x = 189,624,484,918.22
  5. Step 5: Solve for x
    x = 189,624,484,918.22/522,077.10
  6. Step 6: Final answer
    x = 363,211.65

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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.