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Finding the Fourth Proportional to 589,507.02, 813,475.98 and 334,809

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Solution

The fourth proportional to 589,507.02, 813,475.98 and 334,809 is: 462,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,507.02 : 813,475.98 = 334,809 : x
  2. Step 2: Convert to fraction form
    589,507.02/813,475.98 = 334,809/x
  3. Step 3: Cross multiply
    589,507.02x = 813,475.98 × 334,809
  4. Step 4: Simplify right side
    589,507.02x = 272,359,079,387.82
  5. Step 5: Solve for x
    x = 272,359,079,387.82/589,507.02
  6. Step 6: Final answer
    x = 462,011.60

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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.