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Finding the Fourth Proportional to 546,390.28, 754,018.59 and 320,035.78

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Solution

The fourth proportional to 546,390.28, 754,018.59 and 320,035.78 is: 441,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,390.28 : 754,018.59 = 320,035.78 : x
  2. Step 2: Convert to fraction form
    546,390.28/754,018.59 = 320,035.78/x
  3. Step 3: Cross multiply
    546,390.28x = 754,018.59 × 320,035.78
  4. Step 4: Simplify right side
    546,390.28x = 241,312,929,727.81
  5. Step 5: Solve for x
    x = 241,312,929,727.81/546,390.28
  6. Step 6: Final answer
    x = 441,649.38

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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.