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Finding the Fourth Proportional to 507,715.67, 700,966.69 and 326,742.80

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Solution

The fourth proportional to 507,715.67, 700,966.69 and 326,742.80 is: 451,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,715.67 : 700,966.69 = 326,742.80 : x
  2. Step 2: Convert to fraction form
    507,715.67/700,966.69 = 326,742.80/x
  3. Step 3: Cross multiply
    507,715.67x = 700,966.69 × 326,742.80
  4. Step 4: Simplify right side
    507,715.67x = 229,035,814,675.64
  5. Step 5: Solve for x
    x = 229,035,814,675.64/507,715.67
  6. Step 6: Final answer
    x = 451,110.39

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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.