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Finding the Fourth Proportional to 431,998.23, 596,157.94 and 241,011.67

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Solution

The fourth proportional to 431,998.23, 596,157.94 and 241,011.67 is: 332,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,998.23 : 596,157.94 = 241,011.67 : x
  2. Step 2: Convert to fraction form
    431,998.23/596,157.94 = 241,011.67/x
  3. Step 3: Cross multiply
    431,998.23x = 596,157.94 × 241,011.67
  4. Step 4: Simplify right side
    431,998.23x = 143,681,020,703.16
  5. Step 5: Solve for x
    x = 143,681,020,703.16/431,998.23
  6. Step 6: Final answer
    x = 332,596.32

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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.