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Finding the Fourth Proportional to 466,164.99, 643,074.80 and 294,295.95

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Solution

The fourth proportional to 466,164.99, 643,074.80 and 294,295.95 is: 405,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,164.99 : 643,074.80 = 294,295.95 : x
  2. Step 2: Convert to fraction form
    466,164.99/643,074.80 = 294,295.95/x
  3. Step 3: Cross multiply
    466,164.99x = 643,074.80 × 294,295.95
  4. Step 4: Simplify right side
    466,164.99x = 189,254,307,715.58
  5. Step 5: Solve for x
    x = 189,254,307,715.58/466,164.99
  6. Step 6: Final answer
    x = 405,981.38

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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.