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Finding the Fourth Proportional to 334,203.40, 501,324.30 and 97,582.60

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Solution

The fourth proportional to 334,203.40, 501,324.30 and 97,582.60 is: 146,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,203.40 : 501,324.30 = 97,582.60 : x
  2. Step 2: Convert to fraction form
    334,203.40/501,324.30 = 97,582.60/x
  3. Step 3: Cross multiply
    334,203.40x = 501,324.30 × 97,582.60
  4. Step 4: Simplify right side
    334,203.40x = 48,920,528,637.18
  5. Step 5: Solve for x
    x = 48,920,528,637.18/334,203.40
  6. Step 6: Final answer
    x = 146,379.51

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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.