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Finding the Fourth Proportional to 506,543.84, 699,068.44 and 288,757.71

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Solution

The fourth proportional to 506,543.84, 699,068.44 and 288,757.71 is: 398,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,543.84 : 699,068.44 = 288,757.71 : x
  2. Step 2: Convert to fraction form
    506,543.84/699,068.44 = 288,757.71/x
  3. Step 3: Cross multiply
    506,543.84x = 699,068.44 × 288,757.71
  4. Step 4: Simplify right side
    506,543.84x = 201,861,401,145.78
  5. Step 5: Solve for x
    x = 201,861,401,145.78/506,543.84
  6. Step 6: Final answer
    x = 398,507.26

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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.