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Finding the Fourth Proportional to 289,416.60, 433,808.10 and 102,331.80

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Solution

The fourth proportional to 289,416.60, 433,808.10 and 102,331.80 is: 153,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416.60 : 433,808.10 = 102,331.80 : x
  2. Step 2: Convert to fraction form
    289,416.60/433,808.10 = 102,331.80/x
  3. Step 3: Cross multiply
    289,416.60x = 433,808.10 × 102,331.80
  4. Step 4: Simplify right side
    289,416.60x = 44,392,363,727.58
  5. Step 5: Solve for x
    x = 44,392,363,727.58/289,416.60
  6. Step 6: Final answer
    x = 153,385.69

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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.