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Finding the Fourth Proportional to 465,827.84, 642,807.06 and 261,846.32

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Solution

The fourth proportional to 465,827.84, 642,807.06 and 261,846.32 is: 361,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,827.84 : 642,807.06 = 261,846.32 : x
  2. Step 2: Convert to fraction form
    465,827.84/642,807.06 = 261,846.32/x
  3. Step 3: Cross multiply
    465,827.84x = 642,807.06 × 261,846.32
  4. Step 4: Simplify right side
    465,827.84x = 168,316,663,131.02
  5. Step 5: Solve for x
    x = 168,316,663,131.02/465,827.84
  6. Step 6: Final answer
    x = 361,328.05

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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.