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Finding the Fourth Proportional to 462,098.90, 692,181.41 and 371,652.78

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Solution

The fourth proportional to 462,098.90, 692,181.41 and 371,652.78 is: 556,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.90 : 692,181.41 = 371,652.78 : x
  2. Step 2: Convert to fraction form
    462,098.90/692,181.41 = 371,652.78/x
  3. Step 3: Cross multiply
    462,098.90x = 692,181.41 × 371,652.78
  4. Step 4: Simplify right side
    462,098.90x = 257,251,145,290.82
  5. Step 5: Solve for x
    x = 257,251,145,290.82/462,098.90
  6. Step 6: Final answer
    x = 556,701.49

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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.