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Finding the Fourth Proportional to 495,997.76, 744,092.40 and 211,684.16

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Solution

The fourth proportional to 495,997.76, 744,092.40 and 211,684.16 is: 317,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,997.76 : 744,092.40 = 211,684.16 : x
  2. Step 2: Convert to fraction form
    495,997.76/744,092.40 = 211,684.16/x
  3. Step 3: Cross multiply
    495,997.76x = 744,092.40 × 211,684.16
  4. Step 4: Simplify right side
    495,997.76x = 157,512,574,656.38
  5. Step 5: Solve for x
    x = 157,512,574,656.38/495,997.76
  6. Step 6: Final answer
    x = 317,567.11

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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.