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Finding the Fourth Proportional to 463,677.61, 641,283.83 and 415,913.53

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Solution

The fourth proportional to 463,677.61, 641,283.83 and 415,913.53 is: 575,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,677.61 : 641,283.83 = 415,913.53 : x
  2. Step 2: Convert to fraction form
    463,677.61/641,283.83 = 415,913.53/x
  3. Step 3: Cross multiply
    463,677.61x = 641,283.83 × 415,913.53
  4. Step 4: Simplify right side
    463,677.61x = 266,718,620,990.86
  5. Step 5: Solve for x
    x = 266,718,620,990.86/463,677.61
  6. Step 6: Final answer
    x = 575,224.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.