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Finding the Fourth Proportional to 464,713.90, 641,369.02 and 260,776.88

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Solution

The fourth proportional to 464,713.90, 641,369.02 and 260,776.88 is: 359,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,713.90 : 641,369.02 = 260,776.88 : x
  2. Step 2: Convert to fraction form
    464,713.90/641,369.02 = 260,776.88/x
  3. Step 3: Cross multiply
    464,713.90x = 641,369.02 × 260,776.88
  4. Step 4: Simplify right side
    464,713.90x = 167,254,208,814.75
  5. Step 5: Solve for x
    x = 167,254,208,814.75/464,713.90
  6. Step 6: Final answer
    x = 359,907.91

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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.