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Finding the Fourth Proportional to 443,409.60, 664,384.80 and 256,094.40

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Solution

The fourth proportional to 443,409.60, 664,384.80 and 256,094.40 is: 383,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,409.60 : 664,384.80 = 256,094.40 : x
  2. Step 2: Convert to fraction form
    443,409.60/664,384.80 = 256,094.40/x
  3. Step 3: Cross multiply
    443,409.60x = 664,384.80 × 256,094.40
  4. Step 4: Simplify right side
    443,409.60x = 170,145,226,725.12
  5. Step 5: Solve for x
    x = 170,145,226,725.12/443,409.60
  6. Step 6: Final answer
    x = 383,720.21

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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.