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Finding the Fourth Proportional to 475,634.90, 656,368.68 and 260,776.82

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Solution

The fourth proportional to 475,634.90, 656,368.68 and 260,776.82 is: 359,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,634.90 : 656,368.68 = 260,776.82 : x
  2. Step 2: Convert to fraction form
    475,634.90/656,368.68 = 260,776.82/x
  3. Step 3: Cross multiply
    475,634.90x = 656,368.68 × 260,776.82
  4. Step 4: Simplify right side
    475,634.90x = 171,165,737,118.00
  5. Step 5: Solve for x
    x = 171,165,737,118.00/475,634.90
  6. Step 6: Final answer
    x = 359,867.91

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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.