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Finding the Fourth Proportional to 461,551.56, 636,973.18 and 257,642.22

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Solution

The fourth proportional to 461,551.56, 636,973.18 and 257,642.22 is: 355,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,551.56 : 636,973.18 = 257,642.22 : x
  2. Step 2: Convert to fraction form
    461,551.56/636,973.18 = 257,642.22/x
  3. Step 3: Cross multiply
    461,551.56x = 636,973.18 × 257,642.22
  4. Step 4: Simplify right side
    461,551.56x = 164,111,184,175.66
  5. Step 5: Solve for x
    x = 164,111,184,175.66/461,551.56
  6. Step 6: Final answer
    x = 355,564.14

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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.