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Finding the Fourth Proportional to 473,450.80, 709,830.60 and 192,823.60

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Solution

The fourth proportional to 473,450.80, 709,830.60 and 192,823.60 is: 289,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,450.80 : 709,830.60 = 192,823.60 : x
  2. Step 2: Convert to fraction form
    473,450.80/709,830.60 = 192,823.60/x
  3. Step 3: Cross multiply
    473,450.80x = 709,830.60 × 192,823.60
  4. Step 4: Simplify right side
    473,450.80x = 136,872,091,682.16
  5. Step 5: Solve for x
    x = 136,872,091,682.16/473,450.80
  6. Step 6: Final answer
    x = 289,094.65

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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.