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Finding the Fourth Proportional to 507,716.51, 700,967.34 and 326,742.93

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Solution

The fourth proportional to 507,716.51, 700,967.34 and 326,742.93 is: 451,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,716.51 : 700,967.34 = 326,742.93 : x
  2. Step 2: Convert to fraction form
    507,716.51/700,967.34 = 326,742.93/x
  3. Step 3: Cross multiply
    507,716.51x = 700,967.34 × 326,742.93
  4. Step 4: Simplify right side
    507,716.51x = 229,036,122,505.91
  5. Step 5: Solve for x
    x = 229,036,122,505.91/507,716.51
  6. Step 6: Final answer
    x = 451,110.26

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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.