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Finding the Fourth Proportional to 342,302.40, 512,071.20 and 296,068.80

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Solution

The fourth proportional to 342,302.40, 512,071.20 and 296,068.80 is: 442,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,302.40 : 512,071.20 = 296,068.80 : x
  2. Step 2: Convert to fraction form
    342,302.40/512,071.20 = 296,068.80/x
  3. Step 3: Cross multiply
    342,302.40x = 512,071.20 × 296,068.80
  4. Step 4: Simplify right side
    342,302.40x = 151,608,305,698.56
  5. Step 5: Solve for x
    x = 151,608,305,698.56/342,302.40
  6. Step 6: Final answer
    x = 442,907.52

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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.