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Finding the Fourth Proportional to 524,706.21, 724,028.08 and 298,356.57

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Solution

The fourth proportional to 524,706.21, 724,028.08 and 298,356.57 is: 411,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,706.21 : 724,028.08 = 298,356.57 : x
  2. Step 2: Convert to fraction form
    524,706.21/724,028.08 = 298,356.57/x
  3. Step 3: Cross multiply
    524,706.21x = 724,028.08 × 298,356.57
  4. Step 4: Simplify right side
    524,706.21x = 216,018,534,532.49
  5. Step 5: Solve for x
    x = 216,018,534,532.49/524,706.21
  6. Step 6: Final answer
    x = 411,694.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.