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Finding the Fourth Proportional to 477,507.63, 659,232.89 and 316,580.66

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Solution

The fourth proportional to 477,507.63, 659,232.89 and 316,580.66 is: 437,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,507.63 : 659,232.89 = 316,580.66 : x
  2. Step 2: Convert to fraction form
    477,507.63/659,232.89 = 316,580.66/x
  3. Step 3: Cross multiply
    477,507.63x = 659,232.89 × 316,580.66
  4. Step 4: Simplify right side
    477,507.63x = 208,700,380,905.20
  5. Step 5: Solve for x
    x = 208,700,380,905.20/477,507.63
  6. Step 6: Final answer
    x = 437,061.87

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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.