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Finding the Fourth Proportional to 474,856.80, 712,341.52 and 297,378.56

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Solution

The fourth proportional to 474,856.80, 712,341.52 and 297,378.56 is: 446,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,856.80 : 712,341.52 = 297,378.56 : x
  2. Step 2: Convert to fraction form
    474,856.80/712,341.52 = 297,378.56/x
  3. Step 3: Cross multiply
    474,856.80x = 712,341.52 × 297,378.56
  4. Step 4: Simplify right side
    474,856.80x = 211,835,095,445.81
  5. Step 5: Solve for x
    x = 211,835,095,445.81/474,856.80
  6. Step 6: Final answer
    x = 446,103.11

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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.