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Finding the Fourth Proportional to 354,386.40, 531,968.40 and 221,416.80

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Solution

The fourth proportional to 354,386.40, 531,968.40 and 221,416.80 is: 332,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,386.40 : 531,968.40 = 221,416.80 : x
  2. Step 2: Convert to fraction form
    354,386.40/531,968.40 = 221,416.80/x
  3. Step 3: Cross multiply
    354,386.40x = 531,968.40 × 221,416.80
  4. Step 4: Simplify right side
    354,386.40x = 117,786,740,829.12
  5. Step 5: Solve for x
    x = 117,786,740,829.12/354,386.40
  6. Step 6: Final answer
    x = 332,368.12

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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.