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Finding the Fourth Proportional to 463,214.12, 633,398.47 and 463,214.12

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Solution

The fourth proportional to 463,214.12, 633,398.47 and 463,214.12 is: 633,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,214.12 : 633,398.47 = 463,214.12 : x
  2. Step 2: Convert to fraction form
    463,214.12/633,398.47 = 463,214.12/x
  3. Step 3: Cross multiply
    463,214.12x = 633,398.47 × 463,214.12
  4. Step 4: Simplify right side
    463,214.12x = 293,399,114,890.40
  5. Step 5: Solve for x
    x = 293,399,114,890.40/463,214.12
  6. Step 6: Final answer
    x = 633,398.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.