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Finding the Fourth Proportional to 420,240, 579,931.20 and 229,254.16

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Solution

The fourth proportional to 420,240, 579,931.20 and 229,254.16 is: 316,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,240 : 579,931.20 = 229,254.16 : x
  2. Step 2: Convert to fraction form
    420,240/579,931.20 = 229,254.16/x
  3. Step 3: Cross multiply
    420,240x = 579,931.20 × 229,254.16
  4. Step 4: Simplify right side
    420,240x = 132,951,640,113.79
  5. Step 5: Solve for x
    x = 132,951,640,113.79/420,240
  6. Step 6: Final answer
    x = 316,370.74

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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.