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Finding the Fourth Proportional to 314,140.70, 433,319.77 and 273,950.93

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Solution

The fourth proportional to 314,140.70, 433,319.77 and 273,950.93 is: 377,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,140.70 : 433,319.77 = 273,950.93 : x
  2. Step 2: Convert to fraction form
    314,140.70/433,319.77 = 273,950.93/x
  3. Step 3: Cross multiply
    314,140.70x = 433,319.77 × 273,950.93
  4. Step 4: Simplify right side
    314,140.70x = 118,708,351,127.41
  5. Step 5: Solve for x
    x = 118,708,351,127.41/314,140.70
  6. Step 6: Final answer
    x = 377,882.75

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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.