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Finding the Fourth Proportional to 463,022.19, 692,638.56 and 349,861.23

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Solution

The fourth proportional to 463,022.19, 692,638.56 and 349,861.23 is: 523,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,022.19 : 692,638.56 = 349,861.23 : x
  2. Step 2: Convert to fraction form
    463,022.19/692,638.56 = 349,861.23/x
  3. Step 3: Cross multiply
    463,022.19x = 692,638.56 × 349,861.23
  4. Step 4: Simplify right side
    463,022.19x = 242,327,378,547.03
  5. Step 5: Solve for x
    x = 242,327,378,547.03/463,022.19
  6. Step 6: Final answer
    x = 523,360.18

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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.