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Finding the Fourth Proportional to 556,932.68, 768,567.80 and 302,283.96

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Solution

The fourth proportional to 556,932.68, 768,567.80 and 302,283.96 is: 417,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,932.68 : 768,567.80 = 302,283.96 : x
  2. Step 2: Convert to fraction form
    556,932.68/768,567.80 = 302,283.96/x
  3. Step 3: Cross multiply
    556,932.68x = 768,567.80 × 302,283.96
  4. Step 4: Simplify right side
    556,932.68x = 232,325,718,112.49
  5. Step 5: Solve for x
    x = 232,325,718,112.49/556,932.68
  6. Step 6: Final answer
    x = 417,152.25

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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.