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Finding the Fourth Proportional to 429,577.96, 644,384.04 and 114,037.60

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Solution

The fourth proportional to 429,577.96, 644,384.04 and 114,037.60 is: 171,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,577.96 : 644,384.04 = 114,037.60 : x
  2. Step 2: Convert to fraction form
    429,577.96/644,384.04 = 114,037.60/x
  3. Step 3: Cross multiply
    429,577.96x = 644,384.04 × 114,037.60
  4. Step 4: Simplify right side
    429,577.96x = 73,484,009,399.90
  5. Step 5: Solve for x
    x = 73,484,009,399.90/429,577.96
  6. Step 6: Final answer
    x = 171,060.94

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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.