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Finding the Fourth Proportional to 286,308.40, 429,462.60 and 202,327.60

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Solution

The fourth proportional to 286,308.40, 429,462.60 and 202,327.60 is: 303,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,308.40 : 429,462.60 = 202,327.60 : x
  2. Step 2: Convert to fraction form
    286,308.40/429,462.60 = 202,327.60/x
  3. Step 3: Cross multiply
    286,308.40x = 429,462.60 × 202,327.60
  4. Step 4: Simplify right side
    286,308.40x = 86,892,137,147.76
  5. Step 5: Solve for x
    x = 86,892,137,147.76/286,308.40
  6. Step 6: Final answer
    x = 303,491.40

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1.5x scale

Why These Related Problems?

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