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Finding the Fourth Proportional to 292,257.60, 437,511.60 and 260,764.80

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Solution

The fourth proportional to 292,257.60, 437,511.60 and 260,764.80 is: 390,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,257.60 : 437,511.60 = 260,764.80 : x
  2. Step 2: Convert to fraction form
    292,257.60/437,511.60 = 260,764.80/x
  3. Step 3: Cross multiply
    292,257.60x = 437,511.60 × 260,764.80
  4. Step 4: Simplify right side
    292,257.60x = 114,087,624,871.68
  5. Step 5: Solve for x
    x = 114,087,624,871.68/292,257.60
  6. Step 6: Final answer
    x = 390,366.67

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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.