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Finding the Fourth Proportional to 342,295.40, 512,060.70 and 296,061.80

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Solution

The fourth proportional to 342,295.40, 512,060.70 and 296,061.80 is: 442,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,295.40 : 512,060.70 = 296,061.80 : x
  2. Step 2: Convert to fraction form
    342,295.40/512,060.70 = 296,061.80/x
  3. Step 3: Cross multiply
    342,295.40x = 512,060.70 × 296,061.80
  4. Step 4: Simplify right side
    342,295.40x = 151,601,612,551.26
  5. Step 5: Solve for x
    x = 151,601,612,551.26/342,295.40
  6. Step 6: Final answer
    x = 442,897.02

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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.