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Finding the Fourth Proportional to 590,468.80, 885,703.20 and 409,385.20

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Solution

The fourth proportional to 590,468.80, 885,703.20 and 409,385.20 is: 614,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,468.80 : 885,703.20 = 409,385.20 : x
  2. Step 2: Convert to fraction form
    590,468.80/885,703.20 = 409,385.20/x
  3. Step 3: Cross multiply
    590,468.80x = 885,703.20 × 409,385.20
  4. Step 4: Simplify right side
    590,468.80x = 362,593,781,672.64
  5. Step 5: Solve for x
    x = 362,593,781,672.64/590,468.80
  6. Step 6: Final answer
    x = 614,077.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.