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Finding the Fourth Proportional to 314,406.84, 433,938.03 and 185,337.62

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Solution

The fourth proportional to 314,406.84, 433,938.03 and 185,337.62 is: 255,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,406.84 : 433,938.03 = 185,337.62 : x
  2. Step 2: Convert to fraction form
    314,406.84/433,938.03 = 185,337.62/x
  3. Step 3: Cross multiply
    314,406.84x = 433,938.03 × 185,337.62
  4. Step 4: Simplify right side
    314,406.84x = 80,425,039,538.00
  5. Step 5: Solve for x
    x = 80,425,039,538.00/314,406.84
  6. Step 6: Final answer
    x = 255,799.27

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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.