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Finding the Fourth Proportional to 464,732.96, 641,329.70 and 260,783.42

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Solution

The fourth proportional to 464,732.96, 641,329.70 and 260,783.42 is: 359,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,732.96 : 641,329.70 = 260,783.42 : x
  2. Step 2: Convert to fraction form
    464,732.96/641,329.70 = 260,783.42/x
  3. Step 3: Cross multiply
    464,732.96x = 641,329.70 × 260,783.42
  4. Step 4: Simplify right side
    464,732.96x = 167,248,148,003.01
  5. Step 5: Solve for x
    x = 167,248,148,003.01/464,732.96
  6. Step 6: Final answer
    x = 359,880.11

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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.