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Finding the Fourth Proportional to 464,729.83, 641,325.36 and 260,780.28

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Solution

The fourth proportional to 464,729.83, 641,325.36 and 260,780.28 is: 359,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,729.83 : 641,325.36 = 260,780.28 : x
  2. Step 2: Convert to fraction form
    464,729.83/641,325.36 = 260,780.28/x
  3. Step 3: Cross multiply
    464,729.83x = 641,325.36 × 260,780.28
  4. Step 4: Simplify right side
    464,729.83x = 167,245,006,951.90
  5. Step 5: Solve for x
    x = 167,245,006,951.90/464,729.83
  6. Step 6: Final answer
    x = 359,875.77

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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.