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Finding the Fourth Proportional to 464,033.41, 640,383.67 and 260,088.06

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Solution

The fourth proportional to 464,033.41, 640,383.67 and 260,088.06 is: 358,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,033.41 : 640,383.67 = 260,088.06 : x
  2. Step 2: Convert to fraction form
    464,033.41/640,383.67 = 260,088.06/x
  3. Step 3: Cross multiply
    464,033.41x = 640,383.67 × 260,088.06
  4. Step 4: Simplify right side
    464,033.41x = 166,556,149,112.53
  5. Step 5: Solve for x
    x = 166,556,149,112.53/464,033.41
  6. Step 6: Final answer
    x = 358,931.38

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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.