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Finding the Fourth Proportional to 528,046.60, 728,231.70 and 414,672.52

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Solution

The fourth proportional to 528,046.60, 728,231.70 and 414,672.52 is: 571,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,046.60 : 728,231.70 = 414,672.52 : x
  2. Step 2: Convert to fraction form
    528,046.60/728,231.70 = 414,672.52/x
  3. Step 3: Cross multiply
    528,046.60x = 728,231.70 × 414,672.52
  4. Step 4: Simplify right side
    528,046.60x = 301,977,674,182.88
  5. Step 5: Solve for x
    x = 301,977,674,182.88/528,046.60
  6. Step 6: Final answer
    x = 571,876.94

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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.