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Finding the Fourth Proportional to 413,157.17, 570,168.20 and 231,880.32

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Solution

The fourth proportional to 413,157.17, 570,168.20 and 231,880.32 is: 320,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,157.17 : 570,168.20 = 231,880.32 : x
  2. Step 2: Convert to fraction form
    413,157.17/570,168.20 = 231,880.32/x
  3. Step 3: Cross multiply
    413,157.17x = 570,168.20 × 231,880.32
  4. Step 4: Simplify right side
    413,157.17x = 132,210,783,510.42
  5. Step 5: Solve for x
    x = 132,210,783,510.42/413,157.17
  6. Step 6: Final answer
    x = 320,001.19

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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.