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Finding the Fourth Proportional to 410,455.30, 614,516.55 and 368,464.90

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Solution

The fourth proportional to 410,455.30, 614,516.55 and 368,464.90 is: 551,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,455.30 : 614,516.55 = 368,464.90 : x
  2. Step 2: Convert to fraction form
    410,455.30/614,516.55 = 368,464.90/x
  3. Step 3: Cross multiply
    410,455.30x = 614,516.55 × 368,464.90
  4. Step 4: Simplify right side
    410,455.30x = 226,427,779,144.10
  5. Step 5: Solve for x
    x = 226,427,779,144.10/410,455.30
  6. Step 6: Final answer
    x = 551,650.28

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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.