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Finding the Fourth Proportional to 496,133.87, 684,581.73 and 292,225.40

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Solution

The fourth proportional to 496,133.87, 684,581.73 and 292,225.40 is: 403,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,133.87 : 684,581.73 = 292,225.40 : x
  2. Step 2: Convert to fraction form
    496,133.87/684,581.73 = 292,225.40/x
  3. Step 3: Cross multiply
    496,133.87x = 684,581.73 × 292,225.40
  4. Step 4: Simplify right side
    496,133.87x = 200,052,166,459.03
  5. Step 5: Solve for x
    x = 200,052,166,459.03/496,133.87
  6. Step 6: Final answer
    x = 403,222.16

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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.