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Finding the Fourth Proportional to 577,354.32, 865,810.08 and 198,204.39

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Solution

The fourth proportional to 577,354.32, 865,810.08 and 198,204.39 is: 297,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,354.32 : 865,810.08 = 198,204.39 : x
  2. Step 2: Convert to fraction form
    577,354.32/865,810.08 = 198,204.39/x
  3. Step 3: Cross multiply
    577,354.32x = 865,810.08 × 198,204.39
  4. Step 4: Simplify right side
    577,354.32x = 171,607,358,762.25
  5. Step 5: Solve for x
    x = 171,607,358,762.25/577,354.32
  6. Step 6: Final answer
    x = 297,230.58

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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.