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Finding the Fourth Proportional to 535,470.85, 804,518.48 and 402,610.60

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Solution

The fourth proportional to 535,470.85, 804,518.48 and 402,610.60 is: 604,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,470.85 : 804,518.48 = 402,610.60 : x
  2. Step 2: Convert to fraction form
    535,470.85/804,518.48 = 402,610.60/x
  3. Step 3: Cross multiply
    535,470.85x = 804,518.48 × 402,610.60
  4. Step 4: Simplify right side
    535,470.85x = 323,907,667,943.89
  5. Step 5: Solve for x
    x = 323,907,667,943.89/535,470.85
  6. Step 6: Final answer
    x = 604,902.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.