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Finding the Fourth Proportional to 334,814.40, 502,221.60 and 194,846.40

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Solution

The fourth proportional to 334,814.40, 502,221.60 and 194,846.40 is: 292,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,814.40 : 502,221.60 = 194,846.40 : x
  2. Step 2: Convert to fraction form
    334,814.40/502,221.60 = 194,846.40/x
  3. Step 3: Cross multiply
    334,814.40x = 502,221.60 × 194,846.40
  4. Step 4: Simplify right side
    334,814.40x = 97,856,070,762.24
  5. Step 5: Solve for x
    x = 97,856,070,762.24/334,814.40
  6. Step 6: Final answer
    x = 292,269.60

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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.