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Finding the Fourth Proportional to 577,590.62, 866,443.79 and 198,461.40

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Solution

The fourth proportional to 577,590.62, 866,443.79 and 198,461.40 is: 297,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,590.62 : 866,443.79 = 198,461.40 : x
  2. Step 2: Convert to fraction form
    577,590.62/866,443.79 = 198,461.40/x
  3. Step 3: Cross multiply
    577,590.62x = 866,443.79 × 198,461.40
  4. Step 4: Simplify right side
    577,590.62x = 171,955,646,592.40
  5. Step 5: Solve for x
    x = 171,955,646,592.40/577,590.62
  6. Step 6: Final answer
    x = 297,711.98

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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.