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Finding the Fourth Proportional to 286,451.70, 429,473.16 and 134,564.01

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Solution

The fourth proportional to 286,451.70, 429,473.16 and 134,564.01 is: 201,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,451.70 : 429,473.16 = 134,564.01 : x
  2. Step 2: Convert to fraction form
    286,451.70/429,473.16 = 134,564.01/x
  3. Step 3: Cross multiply
    286,451.70x = 429,473.16 × 134,564.01
  4. Step 4: Simplify right side
    286,451.70x = 57,791,630,596.97
  5. Step 5: Solve for x
    x = 57,791,630,596.97/286,451.70
  6. Step 6: Final answer
    x = 201,750.00

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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.