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Finding the Fourth Proportional to 802,637.16, 1,203,857.28 and 465,861

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Solution

The fourth proportional to 802,637.16, 1,203,857.28 and 465,861 is: 698,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,637.16 : 1,203,857.28 = 465,861 : x
  2. Step 2: Convert to fraction form
    802,637.16/1,203,857.28 = 465,861/x
  3. Step 3: Cross multiply
    802,637.16x = 1,203,857.28 × 465,861
  4. Step 4: Simplify right side
    802,637.16x = 560,830,156,318.08
  5. Step 5: Solve for x
    x = 560,830,156,318.08/802,637.16
  6. Step 6: Final answer
    x = 698,734.35

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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.