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Finding the Fourth Proportional to 546,592.16, 819,625.80 and 309,871.28

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Solution

The fourth proportional to 546,592.16, 819,625.80 and 309,871.28 is: 464,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,592.16 : 819,625.80 = 309,871.28 : x
  2. Step 2: Convert to fraction form
    546,592.16/819,625.80 = 309,871.28/x
  3. Step 3: Cross multiply
    546,592.16x = 819,625.80 × 309,871.28
  4. Step 4: Simplify right side
    546,592.16x = 253,978,495,767.02
  5. Step 5: Solve for x
    x = 253,978,495,767.02/546,592.16
  6. Step 6: Final answer
    x = 464,658.14

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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.