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Finding the Fourth Proportional to 413,366.10, 570,401.15 and 232,097.96

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Solution

The fourth proportional to 413,366.10, 570,401.15 and 232,097.96 is: 320,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.10 : 570,401.15 = 232,097.96 : x
  2. Step 2: Convert to fraction form
    413,366.10/570,401.15 = 232,097.96/x
  3. Step 3: Cross multiply
    413,366.10x = 570,401.15 × 232,097.96
  4. Step 4: Simplify right side
    413,366.10x = 132,388,939,284.16
  5. Step 5: Solve for x
    x = 132,388,939,284.16/413,366.10
  6. Step 6: Final answer
    x = 320,270.43

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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.