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Finding the Fourth Proportional to 349,257.18, 524,252.22 and 309,530.32

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Solution

The fourth proportional to 349,257.18, 524,252.22 and 309,530.32 is: 464,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,257.18 : 524,252.22 = 309,530.32 : x
  2. Step 2: Convert to fraction form
    349,257.18/524,252.22 = 309,530.32/x
  3. Step 3: Cross multiply
    349,257.18x = 524,252.22 × 309,530.32
  4. Step 4: Simplify right side
    349,257.18x = 162,271,957,417.31
  5. Step 5: Solve for x
    x = 162,271,957,417.31/349,257.18
  6. Step 6: Final answer
    x = 464,620.25

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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.