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Finding the Fourth Proportional to 364,294.44, 546,461.10 and 114,957

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Solution

The fourth proportional to 364,294.44, 546,461.10 and 114,957 is: 172,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,294.44 : 546,461.10 = 114,957 : x
  2. Step 2: Convert to fraction form
    364,294.44/546,461.10 = 114,957/x
  3. Step 3: Cross multiply
    364,294.44x = 546,461.10 × 114,957
  4. Step 4: Simplify right side
    364,294.44x = 62,819,528,672.70
  5. Step 5: Solve for x
    x = 62,819,528,672.70/364,294.44
  6. Step 6: Final answer
    x = 172,441.63

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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.