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Finding the Fourth Proportional to 649,306.86, 896,026.27 and 362,829.30

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Solution

The fourth proportional to 649,306.86, 896,026.27 and 362,829.30 is: 500,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,306.86 : 896,026.27 = 362,829.30 : x
  2. Step 2: Convert to fraction form
    649,306.86/896,026.27 = 362,829.30/x
  3. Step 3: Cross multiply
    649,306.86x = 896,026.27 × 362,829.30
  4. Step 4: Simplify right side
    649,306.86x = 325,104,584,325.71
  5. Step 5: Solve for x
    x = 325,104,584,325.71/649,306.86
  6. Step 6: Final answer
    x = 500,694.82

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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.