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Finding the Fourth Proportional to 586,569.30, 809,462.67 and 318,297.30

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Solution

The fourth proportional to 586,569.30, 809,462.67 and 318,297.30 is: 439,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,569.30 : 809,462.67 = 318,297.30 : x
  2. Step 2: Convert to fraction form
    586,569.30/809,462.67 = 318,297.30/x
  3. Step 3: Cross multiply
    586,569.30x = 809,462.67 × 318,297.30
  4. Step 4: Simplify right side
    586,569.30x = 257,649,782,311.79
  5. Step 5: Solve for x
    x = 257,649,782,311.79/586,569.30
  6. Step 6: Final answer
    x = 439,248.67

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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.