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Finding the Fourth Proportional to 532,219.96, 734,474.82 and 302,769.64

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Solution

The fourth proportional to 532,219.96, 734,474.82 and 302,769.64 is: 417,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,219.96 : 734,474.82 = 302,769.64 : x
  2. Step 2: Convert to fraction form
    532,219.96/734,474.82 = 302,769.64/x
  3. Step 3: Cross multiply
    532,219.96x = 734,474.82 × 302,769.64
  4. Step 4: Simplify right side
    532,219.96x = 222,376,676,840.47
  5. Step 5: Solve for x
    x = 222,376,676,840.47/532,219.96
  6. Step 6: Final answer
    x = 417,828.52

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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.