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Finding the Fourth Proportional to 424,195.75, 585,394.10 and 233,210.50

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Solution

The fourth proportional to 424,195.75, 585,394.10 and 233,210.50 is: 321,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,195.75 : 585,394.10 = 233,210.50 : x
  2. Step 2: Convert to fraction form
    424,195.75/585,394.10 = 233,210.50/x
  3. Step 3: Cross multiply
    424,195.75x = 585,394.10 × 233,210.50
  4. Step 4: Simplify right side
    424,195.75x = 136,520,050,758.05
  5. Step 5: Solve for x
    x = 136,520,050,758.05/424,195.75
  6. Step 6: Final answer
    x = 321,832.67

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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.