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Finding the Fourth Proportional to 413,449.32, 570,717.96 and 402,073.22

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Solution

The fourth proportional to 413,449.32, 570,717.96 and 402,073.22 is: 555,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,449.32 : 570,717.96 = 402,073.22 : x
  2. Step 2: Convert to fraction form
    413,449.32/570,717.96 = 402,073.22/x
  3. Step 3: Cross multiply
    413,449.32x = 570,717.96 × 402,073.22
  4. Step 4: Simplify right side
    413,449.32x = 229,470,407,889.03
  5. Step 5: Solve for x
    x = 229,470,407,889.03/413,449.32
  6. Step 6: Final answer
    x = 555,014.60

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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.