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Finding the Fourth Proportional to 464,134.31, 695,662.68 and 175,762.64

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Solution

The fourth proportional to 464,134.31, 695,662.68 and 175,762.64 is: 263,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,134.31 : 695,662.68 = 175,762.64 : x
  2. Step 2: Convert to fraction form
    464,134.31/695,662.68 = 175,762.64/x
  3. Step 3: Cross multiply
    464,134.31x = 695,662.68 × 175,762.64
  4. Step 4: Simplify right side
    464,134.31x = 122,271,508,746.87
  5. Step 5: Solve for x
    x = 122,271,508,746.87/464,134.31
  6. Step 6: Final answer
    x = 263,439.93

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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.