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Finding the Fourth Proportional to 506,922.84, 699,709.32 and 292,206.42

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Solution

The fourth proportional to 506,922.84, 699,709.32 and 292,206.42 is: 403,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,922.84 : 699,709.32 = 292,206.42 : x
  2. Step 2: Convert to fraction form
    506,922.84/699,709.32 = 292,206.42/x
  3. Step 3: Cross multiply
    506,922.84x = 699,709.32 × 292,206.42
  4. Step 4: Simplify right side
    506,922.84x = 204,459,555,437.83
  5. Step 5: Solve for x
    x = 204,459,555,437.83/506,922.84
  6. Step 6: Final answer
    x = 403,334.67

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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.