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Finding the Fourth Proportional to 508,509.10, 701,696.17 and 301,741.86

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Solution

The fourth proportional to 508,509.10, 701,696.17 and 301,741.86 is: 416,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,509.10 : 701,696.17 = 301,741.86 : x
  2. Step 2: Convert to fraction form
    508,509.10/701,696.17 = 301,741.86/x
  3. Step 3: Cross multiply
    508,509.10x = 701,696.17 × 301,741.86
  4. Step 4: Simplify right side
    508,509.10x = 211,731,107,490.68
  5. Step 5: Solve for x
    x = 211,731,107,490.68/508,509.10
  6. Step 6: Final answer
    x = 416,376.24

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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.