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Finding the Fourth Proportional to 342,830.04, 514,576.74 and 165,461.90

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Solution

The fourth proportional to 342,830.04, 514,576.74 and 165,461.90 is: 248,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,830.04 : 514,576.74 = 165,461.90 : x
  2. Step 2: Convert to fraction form
    342,830.04/514,576.74 = 165,461.90/x
  3. Step 3: Cross multiply
    342,830.04x = 514,576.74 × 165,461.90
  4. Step 4: Simplify right side
    342,830.04x = 85,142,845,096.21
  5. Step 5: Solve for x
    x = 85,142,845,096.21/342,830.04
  6. Step 6: Final answer
    x = 248,352.93

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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.