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Finding the Fourth Proportional to 825,894.60, 1,238,792.13 and 491,066.01

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Solution

The fourth proportional to 825,894.60, 1,238,792.13 and 491,066.01 is: 736,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,894.60 : 1,238,792.13 = 491,066.01 : x
  2. Step 2: Convert to fraction form
    825,894.60/1,238,792.13 = 491,066.01/x
  3. Step 3: Cross multiply
    825,894.60x = 1,238,792.13 × 491,066.01
  4. Step 4: Simplify right side
    825,894.60x = 608,328,708,498.50
  5. Step 5: Solve for x
    x = 608,328,708,498.50/825,894.60
  6. Step 6: Final answer
    x = 736,569.42

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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.