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Finding the Fourth Proportional to 298,615.47, 446,870.75 and 186,348.53

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Solution

The fourth proportional to 298,615.47, 446,870.75 and 186,348.53 is: 278,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,615.47 : 446,870.75 = 186,348.53 : x
  2. Step 2: Convert to fraction form
    298,615.47/446,870.75 = 186,348.53/x
  3. Step 3: Cross multiply
    298,615.47x = 446,870.75 × 186,348.53
  4. Step 4: Simplify right side
    298,615.47x = 83,273,704,196.40
  5. Step 5: Solve for x
    x = 83,273,704,196.40/298,615.47
  6. Step 6: Final answer
    x = 278,866.01

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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.