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Finding the Fourth Proportional to 581,193.88, 802,405.38 and 460,821.40

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Solution

The fourth proportional to 581,193.88, 802,405.38 and 460,821.40 is: 636,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,193.88 : 802,405.38 = 460,821.40 : x
  2. Step 2: Convert to fraction form
    581,193.88/802,405.38 = 460,821.40/x
  3. Step 3: Cross multiply
    581,193.88x = 802,405.38 × 460,821.40
  4. Step 4: Simplify right side
    581,193.88x = 369,765,570,579.13
  5. Step 5: Solve for x
    x = 369,765,570,579.13/581,193.88
  6. Step 6: Final answer
    x = 636,217.25

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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.