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Finding the Fourth Proportional to 376,147.71, 564,312.69 and 216,325.94

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Solution

The fourth proportional to 376,147.71, 564,312.69 and 216,325.94 is: 324,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,147.71 : 564,312.69 = 216,325.94 : x
  2. Step 2: Convert to fraction form
    376,147.71/564,312.69 = 216,325.94/x
  3. Step 3: Cross multiply
    376,147.71x = 564,312.69 × 216,325.94
  4. Step 4: Simplify right side
    376,147.71x = 122,075,470,296.62
  5. Step 5: Solve for x
    x = 122,075,470,296.62/376,147.71
  6. Step 6: Final answer
    x = 324,541.31

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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.