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Finding the Fourth Proportional to 410,817.87, 567,653.00 and 316,142.64

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Solution

The fourth proportional to 410,817.87, 567,653.00 and 316,142.64 is: 436,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,817.87 : 567,653.00 = 316,142.64 : x
  2. Step 2: Convert to fraction form
    410,817.87/567,653.00 = 316,142.64/x
  3. Step 3: Cross multiply
    410,817.87x = 567,653.00 × 316,142.64
  4. Step 4: Simplify right side
    410,817.87x = 179,459,316,443.21
  5. Step 5: Solve for x
    x = 179,459,316,443.21/410,817.87
  6. Step 6: Final answer
    x = 436,834.25

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Why These Related Problems?

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