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Finding the Fourth Proportional to 286,496.40, 429,477.52 and 96,824.16

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Solution

The fourth proportional to 286,496.40, 429,477.52 and 96,824.16 is: 145,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,496.40 : 429,477.52 = 96,824.16 : x
  2. Step 2: Convert to fraction form
    286,496.40/429,477.52 = 96,824.16/x
  3. Step 3: Cross multiply
    286,496.40x = 429,477.52 × 96,824.16
  4. Step 4: Simplify right side
    286,496.40x = 41,583,800,112.88
  5. Step 5: Solve for x
    x = 41,583,800,112.88/286,496.40
  6. Step 6: Final answer
    x = 145,145.98

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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.