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Finding the Fourth Proportional to 532,068.13, 734,193.89 and 305,786.53

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Solution

The fourth proportional to 532,068.13, 734,193.89 and 305,786.53 is: 421,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,068.13 : 734,193.89 = 305,786.53 : x
  2. Step 2: Convert to fraction form
    532,068.13/734,193.89 = 305,786.53/x
  3. Step 3: Cross multiply
    532,068.13x = 734,193.89 × 305,786.53
  4. Step 4: Simplify right side
    532,068.13x = 224,506,600,441.37
  5. Step 5: Solve for x
    x = 224,506,600,441.37/532,068.13
  6. Step 6: Final answer
    x = 421,950.85

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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.