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Finding the Fourth Proportional to 524,373.60, 786,754.80 and 209,056.80

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Solution

The fourth proportional to 524,373.60, 786,754.80 and 209,056.80 is: 313,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,373.60 : 786,754.80 = 209,056.80 : x
  2. Step 2: Convert to fraction form
    524,373.60/786,754.80 = 209,056.80/x
  3. Step 3: Cross multiply
    524,373.60x = 786,754.80 × 209,056.80
  4. Step 4: Simplify right side
    524,373.60x = 164,476,440,872.64
  5. Step 5: Solve for x
    x = 164,476,440,872.64/524,373.60
  6. Step 6: Final answer
    x = 313,662.70

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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.