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Finding the Fourth Proportional to 565,411.84, 846,899.82 and 265,442.92

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Solution

The fourth proportional to 565,411.84, 846,899.82 and 265,442.92 is: 397,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,411.84 : 846,899.82 = 265,442.92 : x
  2. Step 2: Convert to fraction form
    565,411.84/846,899.82 = 265,442.92/x
  3. Step 3: Cross multiply
    565,411.84x = 846,899.82 × 265,442.92
  4. Step 4: Simplify right side
    565,411.84x = 224,803,561,168.27
  5. Step 5: Solve for x
    x = 224,803,561,168.27/565,411.84
  6. Step 6: Final answer
    x = 397,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.