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Finding the Fourth Proportional to 298,290.60, 411,460.56 and 190,823.04

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Solution

The fourth proportional to 298,290.60, 411,460.56 and 190,823.04 is: 263,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,290.60 : 411,460.56 = 190,823.04 : x
  2. Step 2: Convert to fraction form
    298,290.60/411,460.56 = 190,823.04/x
  3. Step 3: Cross multiply
    298,290.60x = 411,460.56 × 190,823.04
  4. Step 4: Simplify right side
    298,290.60x = 78,516,154,899.30
  5. Step 5: Solve for x
    x = 78,516,154,899.30/298,290.60
  6. Step 6: Final answer
    x = 263,220.35

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1.5x scale

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.