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Finding the Fourth Proportional to 214,969.80, 322,065.90 and 175,312.20

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Solution

The fourth proportional to 214,969.80, 322,065.90 and 175,312.20 is: 262,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.80 : 322,065.90 = 175,312.20 : x
  2. Step 2: Convert to fraction form
    214,969.80/322,065.90 = 175,312.20/x
  3. Step 3: Cross multiply
    214,969.80x = 322,065.90 × 175,312.20
  4. Step 4: Simplify right side
    214,969.80x = 56,462,081,473.98
  5. Step 5: Solve for x
    x = 56,462,081,473.98/214,969.80
  6. Step 6: Final answer
    x = 262,651.23

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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.