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Finding the Fourth Proportional to 589,164.63, 813,052.65 and 334,521.28

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Solution

The fourth proportional to 589,164.63, 813,052.65 and 334,521.28 is: 461,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,164.63 : 813,052.65 = 334,521.28 : x
  2. Step 2: Convert to fraction form
    589,164.63/813,052.65 = 334,521.28/x
  3. Step 3: Cross multiply
    589,164.63x = 813,052.65 × 334,521.28
  4. Step 4: Simplify right side
    589,164.63x = 271,983,413,185.39
  5. Step 5: Solve for x
    x = 271,983,413,185.39/589,164.63
  6. Step 6: Final answer
    x = 461,642.47

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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.