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Finding the Fourth Proportional to 546,776.16, 754,408.80 and 320,300.16

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Solution

The fourth proportional to 546,776.16, 754,408.80 and 320,300.16 is: 441,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,776.16 : 754,408.80 = 320,300.16 : x
  2. Step 2: Convert to fraction form
    546,776.16/754,408.80 = 320,300.16/x
  3. Step 3: Cross multiply
    546,776.16x = 754,408.80 × 320,300.16
  4. Step 4: Simplify right side
    546,776.16x = 241,637,259,345.41
  5. Step 5: Solve for x
    x = 241,637,259,345.41/546,776.16
  6. Step 6: Final answer
    x = 441,930.86

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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.