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Finding the Fourth Proportional to 320,313.60, 442,018.94 and 175,116.69

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Solution

The fourth proportional to 320,313.60, 442,018.94 and 175,116.69 is: 241,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,313.60 : 442,018.94 = 175,116.69 : x
  2. Step 2: Convert to fraction form
    320,313.60/442,018.94 = 175,116.69/x
  3. Step 3: Cross multiply
    320,313.60x = 442,018.94 × 175,116.69
  4. Step 4: Simplify right side
    320,313.60x = 77,404,892,814.53
  5. Step 5: Solve for x
    x = 77,404,892,814.53/320,313.60
  6. Step 6: Final answer
    x = 241,653.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.