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Finding the Fourth Proportional to 358,822.50, 495,197.73 and 197,677.86

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Solution

The fourth proportional to 358,822.50, 495,197.73 and 197,677.86 is: 272,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,822.50 : 495,197.73 = 197,677.86 : x
  2. Step 2: Convert to fraction form
    358,822.50/495,197.73 = 197,677.86/x
  3. Step 3: Cross multiply
    358,822.50x = 495,197.73 × 197,677.86
  4. Step 4: Simplify right side
    358,822.50x = 97,889,627,543.26
  5. Step 5: Solve for x
    x = 97,889,627,543.26/358,822.50
  6. Step 6: Final answer
    x = 272,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.