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Finding the Fourth Proportional to 413,307.14, 570,363.63 and 232,019.42

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Solution

The fourth proportional to 413,307.14, 570,363.63 and 232,019.42 is: 320,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,307.14 : 570,363.63 = 232,019.42 : x
  2. Step 2: Convert to fraction form
    413,307.14/570,363.63 = 232,019.42/x
  3. Step 3: Cross multiply
    413,307.14x = 570,363.63 × 232,019.42
  4. Step 4: Simplify right side
    413,307.14x = 132,335,438,621.70
  5. Step 5: Solve for x
    x = 132,335,438,621.70/413,307.14
  6. Step 6: Final answer
    x = 320,186.67

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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.