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Finding the Fourth Proportional to 413,810.10, 620,715.15 and 164,492.10

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Solution

The fourth proportional to 413,810.10, 620,715.15 and 164,492.10 is: 246,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810.10 : 620,715.15 = 164,492.10 : x
  2. Step 2: Convert to fraction form
    413,810.10/620,715.15 = 164,492.10/x
  3. Step 3: Cross multiply
    413,810.10x = 620,715.15 × 164,492.10
  4. Step 4: Simplify right side
    413,810.10x = 102,102,738,525.32
  5. Step 5: Solve for x
    x = 102,102,738,525.32/413,810.10
  6. Step 6: Final answer
    x = 246,738.15

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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.