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Finding the Fourth Proportional to 598,260, 825,598.80 and 329,988

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Solution

The fourth proportional to 598,260, 825,598.80 and 329,988 is: 455,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,260 : 825,598.80 = 329,988 : x
  2. Step 2: Convert to fraction form
    598,260/825,598.80 = 329,988/x
  3. Step 3: Cross multiply
    598,260x = 825,598.80 × 329,988
  4. Step 4: Simplify right side
    598,260x = 272,437,696,814.40
  5. Step 5: Solve for x
    x = 272,437,696,814.40/598,260
  6. Step 6: Final answer
    x = 455,383.44

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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.