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Finding the Fourth Proportional to 506,358.24, 698,536.32 and 361,196.04

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Solution

The fourth proportional to 506,358.24, 698,536.32 and 361,196.04 is: 498,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,358.24 : 698,536.32 = 361,196.04 : x
  2. Step 2: Convert to fraction form
    506,358.24/698,536.32 = 361,196.04/x
  3. Step 3: Cross multiply
    506,358.24x = 698,536.32 × 361,196.04
  4. Step 4: Simplify right side
    506,358.24x = 252,308,552,580.17
  5. Step 5: Solve for x
    x = 252,308,552,580.17/506,358.24
  6. Step 6: Final answer
    x = 498,280.73

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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.