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Finding the Fourth Proportional to 462,683.34, 638,499.24 and 258,734.66

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Solution

The fourth proportional to 462,683.34, 638,499.24 and 258,734.66 is: 357,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,683.34 : 638,499.24 = 258,734.66 : x
  2. Step 2: Convert to fraction form
    462,683.34/638,499.24 = 258,734.66/x
  3. Step 3: Cross multiply
    462,683.34x = 638,499.24 × 258,734.66
  4. Step 4: Simplify right side
    462,683.34x = 165,201,880,579.16
  5. Step 5: Solve for x
    x = 165,201,880,579.16/462,683.34
  6. Step 6: Final answer
    x = 357,051.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.