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Finding the Fourth Proportional to 577,983.40, 797,641.50 and 357,269.74

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Solution

The fourth proportional to 577,983.40, 797,641.50 and 357,269.74 is: 493,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,983.40 : 797,641.50 = 357,269.74 : x
  2. Step 2: Convert to fraction form
    577,983.40/797,641.50 = 357,269.74/x
  3. Step 3: Cross multiply
    577,983.40x = 797,641.50 × 357,269.74
  4. Step 4: Simplify right side
    577,983.40x = 284,973,171,318.21
  5. Step 5: Solve for x
    x = 284,973,171,318.21/577,983.40
  6. Step 6: Final answer
    x = 493,047.33

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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.