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Finding the Fourth Proportional to 296,152.59, 443,763.94 and 201,427.95

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Solution

The fourth proportional to 296,152.59, 443,763.94 and 201,427.95 is: 301,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,152.59 : 443,763.94 = 201,427.95 : x
  2. Step 2: Convert to fraction form
    296,152.59/443,763.94 = 201,427.95/x
  3. Step 3: Cross multiply
    296,152.59x = 443,763.94 × 201,427.95
  4. Step 4: Simplify right side
    296,152.59x = 89,386,460,718.12
  5. Step 5: Solve for x
    x = 89,386,460,718.12/296,152.59
  6. Step 6: Final answer
    x = 301,825.69

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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.