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Finding the Fourth Proportional to 578,270.16, 868,397.88 and 354,942

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Solution

The fourth proportional to 578,270.16, 868,397.88 and 354,942 is: 533,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,270.16 : 868,397.88 = 354,942 : x
  2. Step 2: Convert to fraction form
    578,270.16/868,397.88 = 354,942/x
  3. Step 3: Cross multiply
    578,270.16x = 868,397.88 × 354,942
  4. Step 4: Simplify right side
    578,270.16x = 308,230,880,322.96
  5. Step 5: Solve for x
    x = 308,230,880,322.96/578,270.16
  6. Step 6: Final answer
    x = 533,022.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.