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Finding the Fourth Proportional to 477,733.56, 716,755.86 and 228,435

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Solution

The fourth proportional to 477,733.56, 716,755.86 and 228,435 is: 342,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,733.56 : 716,755.86 = 228,435 : x
  2. Step 2: Convert to fraction form
    477,733.56/716,755.86 = 228,435/x
  3. Step 3: Cross multiply
    477,733.56x = 716,755.86 × 228,435
  4. Step 4: Simplify right side
    477,733.56x = 163,732,124,879.10
  5. Step 5: Solve for x
    x = 163,732,124,879.10/477,733.56
  6. Step 6: Final answer
    x = 342,726.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.