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Finding the Fourth Proportional to 598,298, 896,943.64 and 278,287.33

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Solution

The fourth proportional to 598,298, 896,943.64 and 278,287.33 is: 417,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,298 : 896,943.64 = 278,287.33 : x
  2. Step 2: Convert to fraction form
    598,298/896,943.64 = 278,287.33/x
  3. Step 3: Cross multiply
    598,298x = 896,943.64 × 278,287.33
  4. Step 4: Simplify right side
    598,298x = 249,608,050,736.08
  5. Step 5: Solve for x
    x = 249,608,050,736.08/598,298
  6. Step 6: Final answer
    x = 417,196.87

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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.