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Finding the Fourth Proportional to 380,074.32, 524,557.92 and 218,898

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Solution

The fourth proportional to 380,074.32, 524,557.92 and 218,898 is: 302,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,074.32 : 524,557.92 = 218,898 : x
  2. Step 2: Convert to fraction form
    380,074.32/524,557.92 = 218,898/x
  3. Step 3: Cross multiply
    380,074.32x = 524,557.92 × 218,898
  4. Step 4: Simplify right side
    380,074.32x = 114,824,679,572.16
  5. Step 5: Solve for x
    x = 114,824,679,572.16/380,074.32
  6. Step 6: Final answer
    x = 302,111.12

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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.