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Finding the Fourth Proportional to 556,829.05, 768,424.65 and 302,180.24

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Solution

The fourth proportional to 556,829.05, 768,424.65 and 302,180.24 is: 417,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,829.05 : 768,424.65 = 302,180.24 : x
  2. Step 2: Convert to fraction form
    556,829.05/768,424.65 = 302,180.24/x
  3. Step 3: Cross multiply
    556,829.05x = 768,424.65 × 302,180.24
  4. Step 4: Simplify right side
    556,829.05x = 232,202,745,158.92
  5. Step 5: Solve for x
    x = 232,202,745,158.92/556,829.05
  6. Step 6: Final answer
    x = 417,009.04

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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.