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Finding the Fourth Proportional to 524,774.16, 724,285.80 and 298,406.16

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Solution

The fourth proportional to 524,774.16, 724,285.80 and 298,406.16 is: 411,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,774.16 : 724,285.80 = 298,406.16 : x
  2. Step 2: Convert to fraction form
    524,774.16/724,285.80 = 298,406.16/x
  3. Step 3: Cross multiply
    524,774.16x = 724,285.80 × 298,406.16
  4. Step 4: Simplify right side
    524,774.16x = 216,131,344,320.53
  5. Step 5: Solve for x
    x = 216,131,344,320.53/524,774.16
  6. Step 6: Final answer
    x = 411,855.92

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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.