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Finding the Fourth Proportional to 421,412.32, 581,548.98 and 230,425.84

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Solution

The fourth proportional to 421,412.32, 581,548.98 and 230,425.84 is: 317,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,412.32 : 581,548.98 = 230,425.84 : x
  2. Step 2: Convert to fraction form
    421,412.32/581,548.98 = 230,425.84/x
  3. Step 3: Cross multiply
    421,412.32x = 581,548.98 × 230,425.84
  4. Step 4: Simplify right side
    421,412.32x = 134,003,912,217.64
  5. Step 5: Solve for x
    x = 134,003,912,217.64/421,412.32
  6. Step 6: Final answer
    x = 317,987.65

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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.