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Finding the Fourth Proportional to 589,026.84, 812,838.72 and 347,324.40

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Solution

The fourth proportional to 589,026.84, 812,838.72 and 347,324.40 is: 479,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,026.84 : 812,838.72 = 347,324.40 : x
  2. Step 2: Convert to fraction form
    589,026.84/812,838.72 = 347,324.40/x
  3. Step 3: Cross multiply
    589,026.84x = 812,838.72 × 347,324.40
  4. Step 4: Simplify right side
    589,026.84x = 282,318,720,720.77
  5. Step 5: Solve for x
    x = 282,318,720,720.77/589,026.84
  6. Step 6: Final answer
    x = 479,296.87

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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.