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Finding the Fourth Proportional to 503,577.84, 694,895.04 and 288,668.64

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Solution

The fourth proportional to 503,577.84, 694,895.04 and 288,668.64 is: 398,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,577.84 : 694,895.04 = 288,668.64 : x
  2. Step 2: Convert to fraction form
    503,577.84/694,895.04 = 288,668.64/x
  3. Step 3: Cross multiply
    503,577.84x = 694,895.04 × 288,668.64
  4. Step 4: Simplify right side
    503,577.84x = 200,594,406,139.55
  5. Step 5: Solve for x
    x = 200,594,406,139.55/503,577.84
  6. Step 6: Final answer
    x = 398,338.43

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Double scale
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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.