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Finding the Fourth Proportional to 405,001, 558,931.92 and 232,971.56

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Solution

The fourth proportional to 405,001, 558,931.92 and 232,971.56 is: 321,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,001 : 558,931.92 = 232,971.56 : x
  2. Step 2: Convert to fraction form
    405,001/558,931.92 = 232,971.56/x
  3. Step 3: Cross multiply
    405,001x = 558,931.92 × 232,971.56
  4. Step 4: Simplify right side
    405,001x = 130,215,241,336.20
  5. Step 5: Solve for x
    x = 130,215,241,336.20/405,001
  6. Step 6: Final answer
    x = 321,518.32

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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.