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Finding the Fourth Proportional to 532,356.30, 734,642.06 and 302,908.61

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Solution

The fourth proportional to 532,356.30, 734,642.06 and 302,908.61 is: 418,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,356.30 : 734,642.06 = 302,908.61 : x
  2. Step 2: Convert to fraction form
    532,356.30/734,642.06 = 302,908.61/x
  3. Step 3: Cross multiply
    532,356.30x = 734,642.06 × 302,908.61
  4. Step 4: Simplify right side
    532,356.30x = 222,529,405,564.20
  5. Step 5: Solve for x
    x = 222,529,405,564.20/532,356.30
  6. Step 6: Final answer
    x = 418,008.40

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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.