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Finding the Fourth Proportional to 429,959.16, 592,317.99 and 300,655.83

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Solution

The fourth proportional to 429,959.16, 592,317.99 and 300,655.83 is: 414,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,959.16 : 592,317.99 = 300,655.83 : x
  2. Step 2: Convert to fraction form
    429,959.16/592,317.99 = 300,655.83/x
  3. Step 3: Cross multiply
    429,959.16x = 592,317.99 × 300,655.83
  4. Step 4: Simplify right side
    429,959.16x = 178,083,856,907.38
  5. Step 5: Solve for x
    x = 178,083,856,907.38/429,959.16
  6. Step 6: Final answer
    x = 414,187.84

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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.