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Finding the Fourth Proportional to 405,452.54, 559,401.70 and 282,941.66

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Solution

The fourth proportional to 405,452.54, 559,401.70 and 282,941.66 is: 390,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,452.54 : 559,401.70 = 282,941.66 : x
  2. Step 2: Convert to fraction form
    405,452.54/559,401.70 = 282,941.66/x
  3. Step 3: Cross multiply
    405,452.54x = 559,401.70 × 282,941.66
  4. Step 4: Simplify right side
    405,452.54x = 158,278,045,604.82
  5. Step 5: Solve for x
    x = 158,278,045,604.82/405,452.54
  6. Step 6: Final answer
    x = 390,373.79

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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.