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Finding the Fourth Proportional to 296,714.34, 445,086.90 and 86,368.68

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Solution

The fourth proportional to 296,714.34, 445,086.90 and 86,368.68 is: 129,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,714.34 : 445,086.90 = 86,368.68 : x
  2. Step 2: Convert to fraction form
    296,714.34/445,086.90 = 86,368.68/x
  3. Step 3: Cross multiply
    296,714.34x = 445,086.90 × 86,368.68
  4. Step 4: Simplify right side
    296,714.34x = 38,441,568,038.29
  5. Step 5: Solve for x
    x = 38,441,568,038.29/296,714.34
  6. Step 6: Final answer
    x = 129,557.50

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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.