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Finding the Fourth Proportional to 334,803.04, 461,856.81 and 213,817.12

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Solution

The fourth proportional to 334,803.04, 461,856.81 and 213,817.12 is: 294,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,803.04 : 461,856.81 = 213,817.12 : x
  2. Step 2: Convert to fraction form
    334,803.04/461,856.81 = 213,817.12/x
  3. Step 3: Cross multiply
    334,803.04x = 461,856.81 × 213,817.12
  4. Step 4: Simplify right side
    334,803.04x = 98,752,892,966.59
  5. Step 5: Solve for x
    x = 98,752,892,966.59/334,803.04
  6. Step 6: Final answer
    x = 294,958.17

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1.5x scale

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.