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Finding the Fourth Proportional to 469,492.80, 704,239.20 and 137,068.80

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Solution

The fourth proportional to 469,492.80, 704,239.20 and 137,068.80 is: 205,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,492.80 : 704,239.20 = 137,068.80 : x
  2. Step 2: Convert to fraction form
    469,492.80/704,239.20 = 137,068.80/x
  3. Step 3: Cross multiply
    469,492.80x = 704,239.20 × 137,068.80
  4. Step 4: Simplify right side
    469,492.80x = 96,529,222,056.96
  5. Step 5: Solve for x
    x = 96,529,222,056.96/469,492.80
  6. Step 6: Final answer
    x = 205,603.20

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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.