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Finding the Fourth Proportional to 477,649.46, 659,156.22 and 262,784.91

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Solution

The fourth proportional to 477,649.46, 659,156.22 and 262,784.91 is: 362,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,649.46 : 659,156.22 = 262,784.91 : x
  2. Step 2: Convert to fraction form
    477,649.46/659,156.22 = 262,784.91/x
  3. Step 3: Cross multiply
    477,649.46x = 659,156.22 × 262,784.91
  4. Step 4: Simplify right side
    477,649.46x = 173,216,307,948.64
  5. Step 5: Solve for x
    x = 173,216,307,948.64/477,649.46
  6. Step 6: Final answer
    x = 362,643.16

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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.