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Finding the Fourth Proportional to 649,412.64, 896,184 and 362,929.44

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Solution

The fourth proportional to 649,412.64, 896,184 and 362,929.44 is: 500,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,412.64 : 896,184 = 362,929.44 : x
  2. Step 2: Convert to fraction form
    649,412.64/896,184 = 362,929.44/x
  3. Step 3: Cross multiply
    649,412.64x = 896,184 × 362,929.44
  4. Step 4: Simplify right side
    649,412.64x = 325,251,557,256.96
  5. Step 5: Solve for x
    x = 325,251,557,256.96/649,412.64
  6. Step 6: Final answer
    x = 500,839.59

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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.