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Finding the Fourth Proportional to 420,300.40, 579,993.24 and 229,312.24

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Solution

The fourth proportional to 420,300.40, 579,993.24 and 229,312.24 is: 316,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,300.40 : 579,993.24 = 229,312.24 : x
  2. Step 2: Convert to fraction form
    420,300.40/579,993.24 = 229,312.24/x
  3. Step 3: Cross multiply
    420,300.40x = 579,993.24 × 229,312.24
  4. Step 4: Simplify right side
    420,300.40x = 132,999,549,049.26
  5. Step 5: Solve for x
    x = 132,999,549,049.26/420,300.40
  6. Step 6: Final answer
    x = 316,439.26

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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.