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Finding the Fourth Proportional to 429,030.87, 643,754.06 and 176,497.98

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Solution

The fourth proportional to 429,030.87, 643,754.06 and 176,497.98 is: 264,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,030.87 : 643,754.06 = 176,497.98 : x
  2. Step 2: Convert to fraction form
    429,030.87/643,754.06 = 176,497.98/x
  3. Step 3: Cross multiply
    429,030.87x = 643,754.06 × 176,497.98
  4. Step 4: Simplify right side
    429,030.87x = 113,621,291,206.80
  5. Step 5: Solve for x
    x = 113,621,291,206.80/429,030.87
  6. Step 6: Final answer
    x = 264,832.44

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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.