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Finding the Fourth Proportional to 214,318.50, 321,491.10 and 56,547.12

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Solution

The fourth proportional to 214,318.50, 321,491.10 and 56,547.12 is: 84,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,318.50 : 321,491.10 = 56,547.12 : x
  2. Step 2: Convert to fraction form
    214,318.50/321,491.10 = 56,547.12/x
  3. Step 3: Cross multiply
    214,318.50x = 321,491.10 × 56,547.12
  4. Step 4: Simplify right side
    214,318.50x = 18,179,395,810.63
  5. Step 5: Solve for x
    x = 18,179,395,810.63/214,318.50
  6. Step 6: Final answer
    x = 84,824.20

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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.