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Finding the Fourth Proportional to 765,658, 1,148,399.36 and 204,736.24

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Solution

The fourth proportional to 765,658, 1,148,399.36 and 204,736.24 is: 307,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,658 : 1,148,399.36 = 204,736.24 : x
  2. Step 2: Convert to fraction form
    765,658/1,148,399.36 = 204,736.24/x
  3. Step 3: Cross multiply
    765,658x = 1,148,399.36 × 204,736.24
  4. Step 4: Simplify right side
    765,658x = 235,118,966,984.81
  5. Step 5: Solve for x
    x = 235,118,966,984.81/765,658
  6. Step 6: Final answer
    x = 307,080.93

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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.