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Finding the Fourth Proportional to 613,649.94, 920,434.41 and 294,030.42

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Solution

The fourth proportional to 613,649.94, 920,434.41 and 294,030.42 is: 441,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,649.94 : 920,434.41 = 294,030.42 : x
  2. Step 2: Convert to fraction form
    613,649.94/920,434.41 = 294,030.42/x
  3. Step 3: Cross multiply
    613,649.94x = 920,434.41 × 294,030.42
  4. Step 4: Simplify right side
    613,649.94x = 270,635,716,154.75
  5. Step 5: Solve for x
    x = 270,635,716,154.75/613,649.94
  6. Step 6: Final answer
    x = 441,026.22

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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.