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Finding the Fourth Proportional to 488,741.40, 732,893.40 and 189,122.40

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Solution

The fourth proportional to 488,741.40, 732,893.40 and 189,122.40 is: 283,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,741.40 : 732,893.40 = 189,122.40 : x
  2. Step 2: Convert to fraction form
    488,741.40/732,893.40 = 189,122.40/x
  3. Step 3: Cross multiply
    488,741.40x = 732,893.40 × 189,122.40
  4. Step 4: Simplify right side
    488,741.40x = 138,606,558,752.16
  5. Step 5: Solve for x
    x = 138,606,558,752.16/488,741.40
  6. Step 6: Final answer
    x = 283,598.97

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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.