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Finding the Fourth Proportional to 289,465.64, 433,633.26 and 199,492.28

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Solution

The fourth proportional to 289,465.64, 433,633.26 and 199,492.28 is: 298,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,465.64 : 433,633.26 = 199,492.28 : x
  2. Step 2: Convert to fraction form
    289,465.64/433,633.26 = 199,492.28/x
  3. Step 3: Cross multiply
    289,465.64x = 433,633.26 × 199,492.28
  4. Step 4: Simplify right side
    289,465.64x = 86,506,487,721.23
  5. Step 5: Solve for x
    x = 86,506,487,721.23/289,465.64
  6. Step 6: Final answer
    x = 298,848.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.