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Finding the Fourth Proportional to 314,146.19, 433,672.31 and 193,390.98

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Solution

The fourth proportional to 314,146.19, 433,672.31 and 193,390.98 is: 266,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,146.19 : 433,672.31 = 193,390.98 : x
  2. Step 2: Convert to fraction form
    314,146.19/433,672.31 = 193,390.98/x
  3. Step 3: Cross multiply
    314,146.19x = 433,672.31 × 193,390.98
  4. Step 4: Simplify right side
    314,146.19x = 83,868,312,788.03
  5. Step 5: Solve for x
    x = 83,868,312,788.03/314,146.19
  6. Step 6: Final answer
    x = 266,972.25

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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.