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Finding the Fourth Proportional to 524,426, 723,980.08 and 353,243.84

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Solution

The fourth proportional to 524,426, 723,980.08 and 353,243.84 is: 487,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,426 : 723,980.08 = 353,243.84 : x
  2. Step 2: Convert to fraction form
    524,426/723,980.08 = 353,243.84/x
  3. Step 3: Cross multiply
    524,426x = 723,980.08 × 353,243.84
  4. Step 4: Simplify right side
    524,426x = 255,741,503,542.71
  5. Step 5: Solve for x
    x = 255,741,503,542.71/524,426
  6. Step 6: Final answer
    x = 487,659.85

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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.