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Finding the Fourth Proportional to 464,572.35, 641,158.38 and 260,678.34

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Solution

The fourth proportional to 464,572.35, 641,158.38 and 260,678.34 is: 359,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,572.35 : 641,158.38 = 260,678.34 : x
  2. Step 2: Convert to fraction form
    464,572.35/641,158.38 = 260,678.34/x
  3. Step 3: Cross multiply
    464,572.35x = 641,158.38 × 260,678.34
  4. Step 4: Simplify right side
    464,572.35x = 167,136,102,175.49
  5. Step 5: Solve for x
    x = 167,136,102,175.49/464,572.35
  6. Step 6: Final answer
    x = 359,763.34

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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.