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Finding the Fourth Proportional to 597,827.80, 837,581 and 597,827.80

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Solution

The fourth proportional to 597,827.80, 837,581 and 597,827.80 is: 837,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,827.80 : 837,581 = 597,827.80 : x
  2. Step 2: Convert to fraction form
    597,827.80/837,581 = 597,827.80/x
  3. Step 3: Cross multiply
    597,827.80x = 837,581 × 597,827.80
  4. Step 4: Simplify right side
    597,827.80x = 500,729,206,551.80
  5. Step 5: Solve for x
    x = 500,729,206,551.80/597,827.80
  6. Step 6: Final answer
    x = 837,581

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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.