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Finding the Fourth Proportional to 410,319.46, 565,562.98 and 274,303.72

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Solution

The fourth proportional to 410,319.46, 565,562.98 and 274,303.72 is: 378,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,319.46 : 565,562.98 = 274,303.72 : x
  2. Step 2: Convert to fraction form
    410,319.46/565,562.98 = 274,303.72/x
  3. Step 3: Cross multiply
    410,319.46x = 565,562.98 × 274,303.72
  4. Step 4: Simplify right side
    410,319.46x = 155,136,027,208.62
  5. Step 5: Solve for x
    x = 155,136,027,208.62/410,319.46
  6. Step 6: Final answer
    x = 378,085.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.