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Finding the Fourth Proportional to 421,457.40, 632,186.10 and 421,457.40

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Solution

The fourth proportional to 421,457.40, 632,186.10 and 421,457.40 is: 632,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,457.40 : 632,186.10 = 421,457.40 : x
  2. Step 2: Convert to fraction form
    421,457.40/632,186.10 = 421,457.40/x
  3. Step 3: Cross multiply
    421,457.40x = 632,186.10 × 421,457.40
  4. Step 4: Simplify right side
    421,457.40x = 266,439,510,022.14
  5. Step 5: Solve for x
    x = 266,439,510,022.14/421,457.40
  6. Step 6: Final answer
    x = 632,186.10

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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.