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Finding the Fourth Proportional to 570,856.40, 856,414.20 and 334,077.20

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Solution

The fourth proportional to 570,856.40, 856,414.20 and 334,077.20 is: 501,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,856.40 : 856,414.20 = 334,077.20 : x
  2. Step 2: Convert to fraction form
    570,856.40/856,414.20 = 334,077.20/x
  3. Step 3: Cross multiply
    570,856.40x = 856,414.20 × 334,077.20
  4. Step 4: Simplify right side
    570,856.40x = 286,108,457,976.24
  5. Step 5: Solve for x
    x = 286,108,457,976.24/570,856.40
  6. Step 6: Final answer
    x = 501,191.64

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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.