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Finding the Fourth Proportional to 464,132, 640,502.16 and 262,928

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Solution

The fourth proportional to 464,132, 640,502.16 and 262,928 is: 362,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,132 : 640,502.16 = 262,928 : x
  2. Step 2: Convert to fraction form
    464,132/640,502.16 = 262,928/x
  3. Step 3: Cross multiply
    464,132x = 640,502.16 × 262,928
  4. Step 4: Simplify right side
    464,132x = 168,405,951,924.48
  5. Step 5: Solve for x
    x = 168,405,951,924.48/464,132
  6. Step 6: Final answer
    x = 362,840.64

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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.