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Finding the Fourth Proportional to 512,110.58, 706,607.09 and 294,277.17

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Solution

The fourth proportional to 512,110.58, 706,607.09 and 294,277.17 is: 406,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110.58 : 706,607.09 = 294,277.17 : x
  2. Step 2: Convert to fraction form
    512,110.58/706,607.09 = 294,277.17/x
  3. Step 3: Cross multiply
    512,110.58x = 706,607.09 × 294,277.17
  4. Step 4: Simplify right side
    512,110.58x = 207,938,333,275.75
  5. Step 5: Solve for x
    x = 207,938,333,275.75/512,110.58
  6. Step 6: Final answer
    x = 406,041.87

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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.