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Finding the Fourth Proportional to 298,968.40, 448,531.80 and 130,416.40

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Solution

The fourth proportional to 298,968.40, 448,531.80 and 130,416.40 is: 195,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,968.40 : 448,531.80 = 130,416.40 : x
  2. Step 2: Convert to fraction form
    298,968.40/448,531.80 = 130,416.40/x
  3. Step 3: Cross multiply
    298,968.40x = 448,531.80 × 130,416.40
  4. Step 4: Simplify right side
    298,968.40x = 58,495,902,641.52
  5. Step 5: Solve for x
    x = 58,495,902,641.52/298,968.40
  6. Step 6: Final answer
    x = 195,659.15

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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.