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Finding the Fourth Proportional to 475,698, 656,483.10 and 260,846.31

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Solution

The fourth proportional to 475,698, 656,483.10 and 260,846.31 is: 359,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,698 : 656,483.10 = 260,846.31 : x
  2. Step 2: Convert to fraction form
    475,698/656,483.10 = 260,846.31/x
  3. Step 3: Cross multiply
    475,698x = 656,483.10 × 260,846.31
  4. Step 4: Simplify right side
    475,698x = 171,241,194,212.36
  5. Step 5: Solve for x
    x = 171,241,194,212.36/475,698
  6. Step 6: Final answer
    x = 359,978.80

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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.