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Finding the Fourth Proportional to 649,357.40, 896,110.62 and 362,877.42

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Solution

The fourth proportional to 649,357.40, 896,110.62 and 362,877.42 is: 500,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,357.40 : 896,110.62 = 362,877.42 : x
  2. Step 2: Convert to fraction form
    649,357.40/896,110.62 = 362,877.42/x
  3. Step 3: Cross multiply
    649,357.40x = 896,110.62 × 362,877.42
  4. Step 4: Simplify right side
    649,357.40x = 325,178,309,820.20
  5. Step 5: Solve for x
    x = 325,178,309,820.20/649,357.40
  6. Step 6: Final answer
    x = 500,769.39

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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.