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Finding the Fourth Proportional to 412,965.42, 569,289.11 and 291,893.10

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Solution

The fourth proportional to 412,965.42, 569,289.11 and 291,893.10 is: 402,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.42 : 569,289.11 = 291,893.10 : x
  2. Step 2: Convert to fraction form
    412,965.42/569,289.11 = 291,893.10/x
  3. Step 3: Cross multiply
    412,965.42x = 569,289.11 × 291,893.10
  4. Step 4: Simplify right side
    412,965.42x = 166,171,561,654.68
  5. Step 5: Solve for x
    x = 166,171,561,654.68/412,965.42
  6. Step 6: Final answer
    x = 402,386.14

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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.