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Finding the Fourth Proportional to 395,851.50, 546,309.63 and 217,038.06

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Solution

The fourth proportional to 395,851.50, 546,309.63 and 217,038.06 is: 299,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,851.50 : 546,309.63 = 217,038.06 : x
  2. Step 2: Convert to fraction form
    395,851.50/546,309.63 = 217,038.06/x
  3. Step 3: Cross multiply
    395,851.50x = 546,309.63 × 217,038.06
  4. Step 4: Simplify right side
    395,851.50x = 118,569,982,254.52
  5. Step 5: Solve for x
    x = 118,569,982,254.52/395,851.50
  6. Step 6: Final answer
    x = 299,531.47

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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.