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Finding the Fourth Proportional to 506,313.24, 698,712.45 and 288,515.68

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Solution

The fourth proportional to 506,313.24, 698,712.45 and 288,515.68 is: 398,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,313.24 : 698,712.45 = 288,515.68 : x
  2. Step 2: Convert to fraction form
    506,313.24/698,712.45 = 288,515.68/x
  3. Step 3: Cross multiply
    506,313.24x = 698,712.45 × 288,515.68
  4. Step 4: Simplify right side
    506,313.24x = 201,589,497,636.22
  5. Step 5: Solve for x
    x = 201,589,497,636.22/506,313.24
  6. Step 6: Final answer
    x = 398,151.74

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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.