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Finding the Fourth Proportional to 477,530.56, 659,007.84 and 262,687.12

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Solution

The fourth proportional to 477,530.56, 659,007.84 and 262,687.12 is: 362,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,530.56 : 659,007.84 = 262,687.12 : x
  2. Step 2: Convert to fraction form
    477,530.56/659,007.84 = 262,687.12/x
  3. Step 3: Cross multiply
    477,530.56x = 659,007.84 × 262,687.12
  4. Step 4: Simplify right side
    477,530.56x = 173,112,871,547.02
  5. Step 5: Solve for x
    x = 173,112,871,547.02/477,530.56
  6. Step 6: Final answer
    x = 362,516.84

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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.