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Finding the Fourth Proportional to 649,688.42, 896,597.88 and 363,208.43

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Solution

The fourth proportional to 649,688.42, 896,597.88 and 363,208.43 is: 501,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,688.42 : 896,597.88 = 363,208.43 : x
  2. Step 2: Convert to fraction form
    649,688.42/896,597.88 = 363,208.43/x
  3. Step 3: Cross multiply
    649,688.42x = 896,597.88 × 363,208.43
  4. Step 4: Simplify right side
    649,688.42x = 325,651,908,336.13
  5. Step 5: Solve for x
    x = 325,651,908,336.13/649,688.42
  6. Step 6: Final answer
    x = 501,243.21

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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.