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Finding the Fourth Proportional to 382,851.80, 574,277.70 and 98,541.80

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Solution

The fourth proportional to 382,851.80, 574,277.70 and 98,541.80 is: 147,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,851.80 : 574,277.70 = 98,541.80 : x
  2. Step 2: Convert to fraction form
    382,851.80/574,277.70 = 98,541.80/x
  3. Step 3: Cross multiply
    382,851.80x = 574,277.70 × 98,541.80
  4. Step 4: Simplify right side
    382,851.80x = 56,590,358,257.86
  5. Step 5: Solve for x
    x = 56,590,358,257.86/382,851.80
  6. Step 6: Final answer
    x = 147,812.70

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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.