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Finding the Fourth Proportional to 384,655.60, 530,814.24 and 210,218.80

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Solution

The fourth proportional to 384,655.60, 530,814.24 and 210,218.80 is: 290,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,655.60 : 530,814.24 = 210,218.80 : x
  2. Step 2: Convert to fraction form
    384,655.60/530,814.24 = 210,218.80/x
  3. Step 3: Cross multiply
    384,655.60x = 530,814.24 × 210,218.80
  4. Step 4: Simplify right side
    384,655.60x = 111,587,132,555.71
  5. Step 5: Solve for x
    x = 111,587,132,555.71/384,655.60
  6. Step 6: Final answer
    x = 290,096.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.