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Finding the Fourth Proportional to 464,785.92, 695,865.28 and 295,888

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Solution

The fourth proportional to 464,785.92, 695,865.28 and 295,888 is: 442,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,785.92 : 695,865.28 = 295,888 : x
  2. Step 2: Convert to fraction form
    464,785.92/695,865.28 = 295,888/x
  3. Step 3: Cross multiply
    464,785.92x = 695,865.28 × 295,888
  4. Step 4: Simplify right side
    464,785.92x = 205,898,185,968.64
  5. Step 5: Solve for x
    x = 205,898,185,968.64/464,785.92
  6. Step 6: Final answer
    x = 442,995.75

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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.