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Finding the Fourth Proportional to 286,310.40, 429,465.60 and 202,329.60

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Solution

The fourth proportional to 286,310.40, 429,465.60 and 202,329.60 is: 303,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,310.40 : 429,465.60 = 202,329.60 : x
  2. Step 2: Convert to fraction form
    286,310.40/429,465.60 = 202,329.60/x
  3. Step 3: Cross multiply
    286,310.40x = 429,465.60 × 202,329.60
  4. Step 4: Simplify right side
    286,310.40x = 86,893,603,061.76
  5. Step 5: Solve for x
    x = 86,893,603,061.76/286,310.40
  6. Step 6: Final answer
    x = 303,494.40

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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.