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Finding the Fourth Proportional to 384,848.80, 577,856.40 and 296,202.40

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Solution

The fourth proportional to 384,848.80, 577,856.40 and 296,202.40 is: 444,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,848.80 : 577,856.40 = 296,202.40 : x
  2. Step 2: Convert to fraction form
    384,848.80/577,856.40 = 296,202.40/x
  3. Step 3: Cross multiply
    384,848.80x = 577,856.40 × 296,202.40
  4. Step 4: Simplify right side
    384,848.80x = 171,162,452,535.36
  5. Step 5: Solve for x
    x = 171,162,452,535.36/384,848.80
  6. Step 6: Final answer
    x = 444,752.47

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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.