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Finding the Fourth Proportional to 342,331.40, 512,114.70 and 296,097.80

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Solution

The fourth proportional to 342,331.40, 512,114.70 and 296,097.80 is: 442,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,331.40 : 512,114.70 = 296,097.80 : x
  2. Step 2: Convert to fraction form
    342,331.40/512,114.70 = 296,097.80/x
  3. Step 3: Cross multiply
    342,331.40x = 512,114.70 × 296,097.80
  4. Step 4: Simplify right side
    342,331.40x = 151,636,036,017.66
  5. Step 5: Solve for x
    x = 151,636,036,017.66/342,331.40
  6. Step 6: Final answer
    x = 442,951.00

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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.