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Finding the Fourth Proportional to 546,907.61, 754,429.24 and 320,509.37

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Solution

The fourth proportional to 546,907.61, 754,429.24 and 320,509.37 is: 442,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,907.61 : 754,429.24 = 320,509.37 : x
  2. Step 2: Convert to fraction form
    546,907.61/754,429.24 = 320,509.37/x
  3. Step 3: Cross multiply
    546,907.61x = 754,429.24 × 320,509.37
  4. Step 4: Simplify right side
    546,907.61x = 241,801,642,708.69
  5. Step 5: Solve for x
    x = 241,801,642,708.69/546,907.61
  6. Step 6: Final answer
    x = 442,125.21

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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.