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Finding the Fourth Proportional to 464,798.49, 641,434.64 and 260,862.06

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Solution

The fourth proportional to 464,798.49, 641,434.64 and 260,862.06 is: 359,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,798.49 : 641,434.64 = 260,862.06 : x
  2. Step 2: Convert to fraction form
    464,798.49/641,434.64 = 260,862.06/x
  3. Step 3: Cross multiply
    464,798.49x = 641,434.64 × 260,862.06
  4. Step 4: Simplify right side
    464,798.49x = 167,325,961,545.76
  5. Step 5: Solve for x
    x = 167,325,961,545.76/464,798.49
  6. Step 6: Final answer
    x = 359,996.78

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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.