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Finding the Fourth Proportional to 598,278, 825,681.96 and 330,006

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Solution

The fourth proportional to 598,278, 825,681.96 and 330,006 is: 455,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,278 : 825,681.96 = 330,006 : x
  2. Step 2: Convert to fraction form
    598,278/825,681.96 = 330,006/x
  3. Step 3: Cross multiply
    598,278x = 825,681.96 × 330,006
  4. Step 4: Simplify right side
    598,278x = 272,480,000,891.76
  5. Step 5: Solve for x
    x = 272,480,000,891.76/598,278
  6. Step 6: Final answer
    x = 455,440.45

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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.