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Finding the Fourth Proportional to 475,677, 656,374.10 and 260,760.51

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Solution

The fourth proportional to 475,677, 656,374.10 and 260,760.51 is: 359,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,677 : 656,374.10 = 260,760.51 : x
  2. Step 2: Convert to fraction form
    475,677/656,374.10 = 260,760.51/x
  3. Step 3: Cross multiply
    475,677x = 656,374.10 × 260,760.51
  4. Step 4: Simplify right side
    475,677x = 171,156,443,762.99
  5. Step 5: Solve for x
    x = 171,156,443,762.99/475,677
  6. Step 6: Final answer
    x = 359,816.52

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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.