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Finding the Fourth Proportional to 360,913.32, 497,945.88 and 209,981.16

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Solution

The fourth proportional to 360,913.32, 497,945.88 and 209,981.16 is: 289,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,913.32 : 497,945.88 = 209,981.16 : x
  2. Step 2: Convert to fraction form
    360,913.32/497,945.88 = 209,981.16/x
  3. Step 3: Cross multiply
    360,913.32x = 497,945.88 × 209,981.16
  4. Step 4: Simplify right side
    360,913.32x = 104,559,253,499.62
  5. Step 5: Solve for x
    x = 104,559,253,499.62/360,913.32
  6. Step 6: Final answer
    x = 289,707.38

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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.