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Finding the Fourth Proportional to 706,137.64, 974,551.60 and 419,655.24

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Solution

The fourth proportional to 706,137.64, 974,551.60 and 419,655.24 is: 579,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,137.64 : 974,551.60 = 419,655.24 : x
  2. Step 2: Convert to fraction form
    706,137.64/974,551.60 = 419,655.24/x
  3. Step 3: Cross multiply
    706,137.64x = 974,551.60 × 419,655.24
  4. Step 4: Simplify right side
    706,137.64x = 408,975,685,590.38
  5. Step 5: Solve for x
    x = 408,975,685,590.38/706,137.64
  6. Step 6: Final answer
    x = 579,172.76

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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.