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Finding the Fourth Proportional to 535,471.10, 804,518.85 and 402,610.85

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Solution

The fourth proportional to 535,471.10, 804,518.85 and 402,610.85 is: 604,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,471.10 : 804,518.85 = 402,610.85 : x
  2. Step 2: Convert to fraction form
    535,471.10/804,518.85 = 402,610.85/x
  3. Step 3: Cross multiply
    535,471.10x = 804,518.85 × 402,610.85
  4. Step 4: Simplify right side
    535,471.10x = 323,908,018,039.52
  5. Step 5: Solve for x
    x = 323,908,018,039.52/535,471.10
  6. Step 6: Final answer
    x = 604,902.89

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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.