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Finding the Fourth Proportional to 423,511.88, 584,465.46 and 253,742.36

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Solution

The fourth proportional to 423,511.88, 584,465.46 and 253,742.36 is: 350,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,511.88 : 584,465.46 = 253,742.36 : x
  2. Step 2: Convert to fraction form
    423,511.88/584,465.46 = 253,742.36/x
  3. Step 3: Cross multiply
    423,511.88x = 584,465.46 × 253,742.36
  4. Step 4: Simplify right side
    423,511.88x = 148,303,645,158.89
  5. Step 5: Solve for x
    x = 148,303,645,158.89/423,511.88
  6. Step 6: Final answer
    x = 350,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.