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Finding the Fourth Proportional to 289,009.60, 433,514.40 and 229,523.20

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Solution

The fourth proportional to 289,009.60, 433,514.40 and 229,523.20 is: 344,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.60 : 433,514.40 = 229,523.20 : x
  2. Step 2: Convert to fraction form
    289,009.60/433,514.40 = 229,523.20/x
  3. Step 3: Cross multiply
    289,009.60x = 433,514.40 × 229,523.20
  4. Step 4: Simplify right side
    289,009.60x = 99,501,612,334.08
  5. Step 5: Solve for x
    x = 99,501,612,334.08/289,009.60
  6. Step 6: Final answer
    x = 344,284.80

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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.