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Finding the Fourth Proportional to 297,386.10, 410,381.84 and 161,417.17

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Solution

The fourth proportional to 297,386.10, 410,381.84 and 161,417.17 is: 222,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386.10 : 410,381.84 = 161,417.17 : x
  2. Step 2: Convert to fraction form
    297,386.10/410,381.84 = 161,417.17/x
  3. Step 3: Cross multiply
    297,386.10x = 410,381.84 × 161,417.17
  4. Step 4: Simplify right side
    297,386.10x = 66,242,676,148.71
  5. Step 5: Solve for x
    x = 66,242,676,148.71/297,386.10
  6. Step 6: Final answer
    x = 222,749.74

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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.