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Finding the Fourth Proportional to 577,689.70, 866,322.32 and 198,502.88

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Solution

The fourth proportional to 577,689.70, 866,322.32 and 198,502.88 is: 297,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,689.70 : 866,322.32 = 198,502.88 : x
  2. Step 2: Convert to fraction form
    577,689.70/866,322.32 = 198,502.88/x
  3. Step 3: Cross multiply
    577,689.70x = 866,322.32 × 198,502.88
  4. Step 4: Simplify right side
    577,689.70x = 171,967,475,528.28
  5. Step 5: Solve for x
    x = 171,967,475,528.28/577,689.70
  6. Step 6: Final answer
    x = 297,681.39

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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.