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Finding the Fourth Proportional to 705,653.84, 973,732.08 and 399,669.20

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Solution

The fourth proportional to 705,653.84, 973,732.08 and 399,669.20 is: 551,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,653.84 : 973,732.08 = 399,669.20 : x
  2. Step 2: Convert to fraction form
    705,653.84/973,732.08 = 399,669.20/x
  3. Step 3: Cross multiply
    705,653.84x = 973,732.08 × 399,669.20
  4. Step 4: Simplify right side
    705,653.84x = 389,170,721,427.94
  5. Step 5: Solve for x
    x = 389,170,721,427.94/705,653.84
  6. Step 6: Final answer
    x = 551,503.73

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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.