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Finding the Fourth Proportional to 535,508.10, 804,574.35 and 402,647.85

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Solution

The fourth proportional to 535,508.10, 804,574.35 and 402,647.85 is: 604,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,508.10 : 804,574.35 = 402,647.85 : x
  2. Step 2: Convert to fraction form
    535,508.10/804,574.35 = 402,647.85/x
  3. Step 3: Cross multiply
    535,508.10x = 804,574.35 × 402,647.85
  4. Step 4: Simplify right side
    535,508.10x = 323,960,132,192.65
  5. Step 5: Solve for x
    x = 323,960,132,192.65/535,508.10
  6. Step 6: Final answer
    x = 604,958.42

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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.