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Finding the Fourth Proportional to 429,953.42, 644,944.71 and 114,410.63

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Solution

The fourth proportional to 429,953.42, 644,944.71 and 114,410.63 is: 171,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,953.42 : 644,944.71 = 114,410.63 : x
  2. Step 2: Convert to fraction form
    429,953.42/644,944.71 = 114,410.63/x
  3. Step 3: Cross multiply
    429,953.42x = 644,944.71 × 114,410.63
  4. Step 4: Simplify right side
    429,953.42x = 73,788,528,034.52
  5. Step 5: Solve for x
    x = 73,788,528,034.52/429,953.42
  6. Step 6: Final answer
    x = 171,619.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.