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Finding the Fourth Proportional to 413,283.57, 570,350.27 and 229,522.98

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Solution

The fourth proportional to 413,283.57, 570,350.27 and 229,522.98 is: 316,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,283.57 : 570,350.27 = 229,522.98 : x
  2. Step 2: Convert to fraction form
    413,283.57/570,350.27 = 229,522.98/x
  3. Step 3: Cross multiply
    413,283.57x = 570,350.27 × 229,522.98
  4. Step 4: Simplify right side
    413,283.57x = 130,908,493,614.21
  5. Step 5: Solve for x
    x = 130,908,493,614.21/413,283.57
  6. Step 6: Final answer
    x = 316,752.23

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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.