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Finding the Fourth Proportional to 556,933.17, 768,565.83 and 302,284.36

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Solution

The fourth proportional to 556,933.17, 768,565.83 and 302,284.36 is: 417,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,933.17 : 768,565.83 = 302,284.36 : x
  2. Step 2: Convert to fraction form
    556,933.17/768,565.83 = 302,284.36/x
  3. Step 3: Cross multiply
    556,933.17x = 768,565.83 × 302,284.36
  4. Step 4: Simplify right side
    556,933.17x = 232,325,430,039.42
  5. Step 5: Solve for x
    x = 232,325,430,039.42/556,933.17
  6. Step 6: Final answer
    x = 417,151.36

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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.