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Finding the Fourth Proportional to 343,403.60, 514,740.90 and 165,794.90

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Solution

The fourth proportional to 343,403.60, 514,740.90 and 165,794.90 is: 248,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,403.60 : 514,740.90 = 165,794.90 : x
  2. Step 2: Convert to fraction form
    343,403.60/514,740.90 = 165,794.90/x
  3. Step 3: Cross multiply
    343,403.60x = 514,740.90 × 165,794.90
  4. Step 4: Simplify right side
    343,403.60x = 85,341,416,041.41
  5. Step 5: Solve for x
    x = 85,341,416,041.41/343,403.60
  6. Step 6: Final answer
    x = 248,516.37

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1.5x scale

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.