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Finding the Fourth Proportional to 433,810.60, 650,618.70 and 285,094.60

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Solution

The fourth proportional to 433,810.60, 650,618.70 and 285,094.60 is: 427,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,810.60 : 650,618.70 = 285,094.60 : x
  2. Step 2: Convert to fraction form
    433,810.60/650,618.70 = 285,094.60/x
  3. Step 3: Cross multiply
    433,810.60x = 650,618.70 × 285,094.60
  4. Step 4: Simplify right side
    433,810.60x = 185,487,878,029.02
  5. Step 5: Solve for x
    x = 185,487,878,029.02/433,810.60
  6. Step 6: Final answer
    x = 427,578.02

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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.