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Finding the Fourth Proportional to 475,636.14, 656,360.34 and 260,771.46

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Solution

The fourth proportional to 475,636.14, 656,360.34 and 260,771.46 is: 359,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,636.14 : 656,360.34 = 260,771.46 : x
  2. Step 2: Convert to fraction form
    475,636.14/656,360.34 = 260,771.46/x
  3. Step 3: Cross multiply
    475,636.14x = 656,360.34 × 260,771.46
  4. Step 4: Simplify right side
    475,636.14x = 171,160,044,147.90
  5. Step 5: Solve for x
    x = 171,160,044,147.90/475,636.14
  6. Step 6: Final answer
    x = 359,855.00

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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.