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Finding the Fourth Proportional to 413,416.12, 570,576.63 and 252,364.90

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Solution

The fourth proportional to 413,416.12, 570,576.63 and 252,364.90 is: 348,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,416.12 : 570,576.63 = 252,364.90 : x
  2. Step 2: Convert to fraction form
    413,416.12/570,576.63 = 252,364.90/x
  3. Step 3: Cross multiply
    413,416.12x = 570,576.63 × 252,364.90
  4. Step 4: Simplify right side
    413,416.12x = 143,993,514,172.29
  5. Step 5: Solve for x
    x = 143,993,514,172.29/413,416.12
  6. Step 6: Final answer
    x = 348,301.64

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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.