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Finding the Fourth Proportional to 475,364.95, 656,003.64 and 260,509.97

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Solution

The fourth proportional to 475,364.95, 656,003.64 and 260,509.97 is: 359,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,364.95 : 656,003.64 = 260,509.97 : x
  2. Step 2: Convert to fraction form
    475,364.95/656,003.64 = 260,509.97/x
  3. Step 3: Cross multiply
    475,364.95x = 656,003.64 × 260,509.97
  4. Step 4: Simplify right side
    475,364.95x = 170,895,488,995.16
  5. Step 5: Solve for x
    x = 170,895,488,995.16/475,364.95
  6. Step 6: Final answer
    x = 359,503.76

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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.