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Finding the Fourth Proportional to 314,048.73, 433,421.04 and 274,928.77

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Solution

The fourth proportional to 314,048.73, 433,421.04 and 274,928.77 is: 379,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,048.73 : 433,421.04 = 274,928.77 : x
  2. Step 2: Convert to fraction form
    314,048.73/433,421.04 = 274,928.77/x
  3. Step 3: Cross multiply
    314,048.73x = 433,421.04 × 274,928.77
  4. Step 4: Simplify right side
    314,048.73x = 119,159,913,419.32
  5. Step 5: Solve for x
    x = 119,159,913,419.32/314,048.73
  6. Step 6: Final answer
    x = 379,431.29

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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.