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Finding the Fourth Proportional to 437,817.60, 657,244.80 and 434,707.20

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Solution

The fourth proportional to 437,817.60, 657,244.80 and 434,707.20 is: 652,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,817.60 : 657,244.80 = 434,707.20 : x
  2. Step 2: Convert to fraction form
    437,817.60/657,244.80 = 434,707.20/x
  3. Step 3: Cross multiply
    437,817.60x = 657,244.80 × 434,707.20
  4. Step 4: Simplify right side
    437,817.60x = 285,709,046,722.56
  5. Step 5: Solve for x
    x = 285,709,046,722.56/437,817.60
  6. Step 6: Final answer
    x = 652,575.52

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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.