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Finding the Fourth Proportional to 577,248, 865,884.96 and 198,168

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Solution

The fourth proportional to 577,248, 865,884.96 and 198,168 is: 297,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,248 : 865,884.96 = 198,168 : x
  2. Step 2: Convert to fraction form
    577,248/865,884.96 = 198,168/x
  3. Step 3: Cross multiply
    577,248x = 865,884.96 × 198,168
  4. Step 4: Simplify right side
    577,248x = 171,590,690,753.28
  5. Step 5: Solve for x
    x = 171,590,690,753.28/577,248
  6. Step 6: Final answer
    x = 297,256.45

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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.