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Finding the Fourth Proportional to 546,178.16, 819,638.76 and 335,172.08

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Solution

The fourth proportional to 546,178.16, 819,638.76 and 335,172.08 is: 502,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,178.16 : 819,638.76 = 335,172.08 : x
  2. Step 2: Convert to fraction form
    546,178.16/819,638.76 = 335,172.08/x
  3. Step 3: Cross multiply
    546,178.16x = 819,638.76 × 335,172.08
  4. Step 4: Simplify right side
    546,178.16x = 274,720,028,037.82
  5. Step 5: Solve for x
    x = 274,720,028,037.82/546,178.16
  6. Step 6: Final answer
    x = 502,986.11

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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.