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Finding the Fourth Proportional to 597,816.30, 837,564.90 and 597,816.30

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Solution

The fourth proportional to 597,816.30, 837,564.90 and 597,816.30 is: 837,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,816.30 : 837,564.90 = 597,816.30 : x
  2. Step 2: Convert to fraction form
    597,816.30/837,564.90 = 597,816.30/x
  3. Step 3: Cross multiply
    597,816.30x = 837,564.90 × 597,816.30
  4. Step 4: Simplify right side
    597,816.30x = 500,709,949,527.87
  5. Step 5: Solve for x
    x = 500,709,949,527.87/597,816.30
  6. Step 6: Final answer
    x = 837,564.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.