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Finding the Fourth Proportional to 305,291.23, 457,569 and 113,012.01

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Solution

The fourth proportional to 305,291.23, 457,569 and 113,012.01 is: 169,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,291.23 : 457,569 = 113,012.01 : x
  2. Step 2: Convert to fraction form
    305,291.23/457,569 = 113,012.01/x
  3. Step 3: Cross multiply
    305,291.23x = 457,569 × 113,012.01
  4. Step 4: Simplify right side
    305,291.23x = 51,710,792,403.69
  5. Step 5: Solve for x
    x = 51,710,792,403.69/305,291.23
  6. Step 6: Final answer
    x = 169,381.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.