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Finding the Fourth Proportional to 421,460.32, 581,615.22 and 230,473.84

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Solution

The fourth proportional to 421,460.32, 581,615.22 and 230,473.84 is: 318,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,460.32 : 581,615.22 = 230,473.84 : x
  2. Step 2: Convert to fraction form
    421,460.32/581,615.22 = 230,473.84/x
  3. Step 3: Cross multiply
    421,460.32x = 581,615.22 × 230,473.84
  4. Step 4: Simplify right side
    421,460.32x = 134,047,093,155.85
  5. Step 5: Solve for x
    x = 134,047,093,155.85/421,460.32
  6. Step 6: Final answer
    x = 318,053.89

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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.