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Finding the Fourth Proportional to 464,090.51, 640,490.29 and 260,141.83

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Solution

The fourth proportional to 464,090.51, 640,490.29 and 260,141.83 is: 359,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,090.51 : 640,490.29 = 260,141.83 : x
  2. Step 2: Convert to fraction form
    464,090.51/640,490.29 = 260,141.83/x
  3. Step 3: Cross multiply
    464,090.51x = 640,490.29 × 260,141.83
  4. Step 4: Simplify right side
    464,090.51x = 166,618,313,886.25
  5. Step 5: Solve for x
    x = 166,618,313,886.25/464,090.51
  6. Step 6: Final answer
    x = 359,021.16

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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.