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Finding the Fourth Proportional to 589,768.84, 813,898.20 and 335,130.76

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Solution

The fourth proportional to 589,768.84, 813,898.20 and 335,130.76 is: 462,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,768.84 : 813,898.20 = 335,130.76 : x
  2. Step 2: Convert to fraction form
    589,768.84/813,898.20 = 335,130.76/x
  3. Step 3: Cross multiply
    589,768.84x = 813,898.20 × 335,130.76
  4. Step 4: Simplify right side
    589,768.84x = 272,762,322,328.63
  5. Step 5: Solve for x
    x = 272,762,322,328.63/589,768.84
  6. Step 6: Final answer
    x = 462,490.22

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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.