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Finding the Fourth Proportional to 546,431.65, 754,663.80 and 415,978.45

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Solution

The fourth proportional to 546,431.65, 754,663.80 and 415,978.45 is: 574,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,431.65 : 754,663.80 = 415,978.45 : x
  2. Step 2: Convert to fraction form
    546,431.65/754,663.80 = 415,978.45/x
  3. Step 3: Cross multiply
    546,431.65x = 754,663.80 × 415,978.45
  4. Step 4: Simplify right side
    546,431.65x = 313,923,877,795.11
  5. Step 5: Solve for x
    x = 313,923,877,795.11/546,431.65
  6. Step 6: Final answer
    x = 574,497.98

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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.