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Finding the Fourth Proportional to 298,038.20, 411,303.53 and 170,738.39

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Solution

The fourth proportional to 298,038.20, 411,303.53 and 170,738.39 is: 235,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,038.20 : 411,303.53 = 170,738.39 : x
  2. Step 2: Convert to fraction form
    298,038.20/411,303.53 = 170,738.39/x
  3. Step 3: Cross multiply
    298,038.20x = 411,303.53 × 170,738.39
  4. Step 4: Simplify right side
    298,038.20x = 70,225,303,968.62
  5. Step 5: Solve for x
    x = 70,225,303,968.62/298,038.20
  6. Step 6: Final answer
    x = 235,625.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.