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Finding the Fourth Proportional to 461,066.50, 636,291.21 and 259,862.50

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Solution

The fourth proportional to 461,066.50, 636,291.21 and 259,862.50 is: 358,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,066.50 : 636,291.21 = 259,862.50 : x
  2. Step 2: Convert to fraction form
    461,066.50/636,291.21 = 259,862.50/x
  3. Step 3: Cross multiply
    461,066.50x = 636,291.21 × 259,862.50
  4. Step 4: Simplify right side
    461,066.50x = 165,348,224,558.63
  5. Step 5: Solve for x
    x = 165,348,224,558.63/461,066.50
  6. Step 6: Final answer
    x = 358,621.21

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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.