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Finding the Fourth Proportional to 286,376.40, 429,564.60 and 146,408.40

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Solution

The fourth proportional to 286,376.40, 429,564.60 and 146,408.40 is: 219,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,376.40 : 429,564.60 = 146,408.40 : x
  2. Step 2: Convert to fraction form
    286,376.40/429,564.60 = 146,408.40/x
  3. Step 3: Cross multiply
    286,376.40x = 429,564.60 × 146,408.40
  4. Step 4: Simplify right side
    286,376.40x = 62,891,865,782.64
  5. Step 5: Solve for x
    x = 62,891,865,782.64/286,376.40
  6. Step 6: Final answer
    x = 219,612.60

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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.