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Finding the Fourth Proportional to 589,601.89, 813,653.31 and 334,967.05

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Solution

The fourth proportional to 589,601.89, 813,653.31 and 334,967.05 is: 462,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,601.89 : 813,653.31 = 334,967.05 : x
  2. Step 2: Convert to fraction form
    589,601.89/813,653.31 = 334,967.05/x
  3. Step 3: Cross multiply
    589,601.89x = 813,653.31 × 334,967.05
  4. Step 4: Simplify right side
    589,601.89x = 272,547,048,973.44
  5. Step 5: Solve for x
    x = 272,547,048,973.44/589,601.89
  6. Step 6: Final answer
    x = 462,256.06

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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.