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Finding the Fourth Proportional to 429,759.09, 592,451.64 and 302,038.29

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Solution

The fourth proportional to 429,759.09, 592,451.64 and 302,038.29 is: 416,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,759.09 : 592,451.64 = 302,038.29 : x
  2. Step 2: Convert to fraction form
    429,759.09/592,451.64 = 302,038.29/x
  3. Step 3: Cross multiply
    429,759.09x = 592,451.64 × 302,038.29
  4. Step 4: Simplify right side
    429,759.09x = 178,943,080,253.30
  5. Step 5: Solve for x
    x = 178,943,080,253.30/429,759.09
  6. Step 6: Final answer
    x = 416,379.98

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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.