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Finding the Fourth Proportional to 477,644.06, 659,148.78 and 262,779.52

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Solution

The fourth proportional to 477,644.06, 659,148.78 and 262,779.52 is: 362,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,644.06 : 659,148.78 = 262,779.52 : x
  2. Step 2: Convert to fraction form
    477,644.06/659,148.78 = 262,779.52/x
  3. Step 3: Cross multiply
    477,644.06x = 659,148.78 × 262,779.52
  4. Step 4: Simplify right side
    477,644.06x = 173,210,798,369.11
  5. Step 5: Solve for x
    x = 173,210,798,369.11/477,644.06
  6. Step 6: Final answer
    x = 362,635.72

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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.