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Finding the Fourth Proportional to 556,926.24, 768,558.78 and 302,277.48

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Solution

The fourth proportional to 556,926.24, 768,558.78 and 302,277.48 is: 417,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,926.24 : 768,558.78 = 302,277.48 : x
  2. Step 2: Convert to fraction form
    556,926.24/768,558.78 = 302,277.48/x
  3. Step 3: Cross multiply
    556,926.24x = 768,558.78 × 302,277.48
  4. Step 4: Simplify right side
    556,926.24x = 232,318,011,250.27
  5. Step 5: Solve for x
    x = 232,318,011,250.27/556,926.24
  6. Step 6: Final answer
    x = 417,143.23

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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.