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Finding the Fourth Proportional to 429,148.80, 643,262.40 and 162,806.40

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Solution

The fourth proportional to 429,148.80, 643,262.40 and 162,806.40 is: 244,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,148.80 : 643,262.40 = 162,806.40 : x
  2. Step 2: Convert to fraction form
    429,148.80/643,262.40 = 162,806.40/x
  3. Step 3: Cross multiply
    429,148.80x = 643,262.40 × 162,806.40
  4. Step 4: Simplify right side
    429,148.80x = 104,727,235,599.36
  5. Step 5: Solve for x
    x = 104,727,235,599.36/429,148.80
  6. Step 6: Final answer
    x = 244,034.79

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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.