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Finding the Fourth Proportional to 295,509.72, 407,823.26 and 164,707.72

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Solution

The fourth proportional to 295,509.72, 407,823.26 and 164,707.72 is: 227,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,509.72 : 407,823.26 = 164,707.72 : x
  2. Step 2: Convert to fraction form
    295,509.72/407,823.26 = 164,707.72/x
  3. Step 3: Cross multiply
    295,509.72x = 407,823.26 × 164,707.72
  4. Step 4: Simplify right side
    295,509.72x = 67,171,639,317.57
  5. Step 5: Solve for x
    x = 67,171,639,317.57/295,509.72
  6. Step 6: Final answer
    x = 227,307.72

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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.