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Finding the Fourth Proportional to 286,451.83, 429,473.35 and 134,564.14

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Solution

The fourth proportional to 286,451.83, 429,473.35 and 134,564.14 is: 201,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,451.83 : 429,473.35 = 134,564.14 : x
  2. Step 2: Convert to fraction form
    286,451.83/429,473.35 = 134,564.14/x
  3. Step 3: Cross multiply
    286,451.83x = 429,473.35 × 134,564.14
  4. Step 4: Simplify right side
    286,451.83x = 57,791,709,511.89
  5. Step 5: Solve for x
    x = 57,791,709,511.89/286,451.83
  6. Step 6: Final answer
    x = 201,750.19

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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.