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Finding the Fourth Proportional to 477,155.32, 658,457.64 and 262,293.84

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Solution

The fourth proportional to 477,155.32, 658,457.64 and 262,293.84 is: 361,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,155.32 : 658,457.64 = 262,293.84 : x
  2. Step 2: Convert to fraction form
    477,155.32/658,457.64 = 262,293.84/x
  3. Step 3: Cross multiply
    477,155.32x = 658,457.64 × 262,293.84
  4. Step 4: Simplify right side
    477,155.32x = 172,709,382,872.94
  5. Step 5: Solve for x
    x = 172,709,382,872.94/477,155.32
  6. Step 6: Final answer
    x = 361,956.32

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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.