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Finding the Fourth Proportional to 334,035.40, 501,053.10 and 97,385.80

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Solution

The fourth proportional to 334,035.40, 501,053.10 and 97,385.80 is: 146,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,035.40 : 501,053.10 = 97,385.80 : x
  2. Step 2: Convert to fraction form
    334,035.40/501,053.10 = 97,385.80/x
  3. Step 3: Cross multiply
    334,035.40x = 501,053.10 × 97,385.80
  4. Step 4: Simplify right side
    334,035.40x = 48,795,456,985.98
  5. Step 5: Solve for x
    x = 48,795,456,985.98/334,035.40
  6. Step 6: Final answer
    x = 146,078.70

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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.