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Finding the Fourth Proportional to 349,620.90, 524,431.35 and 310,254.90

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Solution

The fourth proportional to 349,620.90, 524,431.35 and 310,254.90 is: 465,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,620.90 : 524,431.35 = 310,254.90 : x
  2. Step 2: Convert to fraction form
    349,620.90/524,431.35 = 310,254.90/x
  3. Step 3: Cross multiply
    349,620.90x = 524,431.35 × 310,254.90
  4. Step 4: Simplify right side
    349,620.90x = 162,707,396,051.12
  5. Step 5: Solve for x
    x = 162,707,396,051.12/349,620.90
  6. Step 6: Final answer
    x = 465,382.35

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1.5x scale

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.