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Finding the Fourth Proportional to 429,673.86, 592,929.81 and 238,698.90

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Solution

The fourth proportional to 429,673.86, 592,929.81 and 238,698.90 is: 329,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,673.86 : 592,929.81 = 238,698.90 : x
  2. Step 2: Convert to fraction form
    429,673.86/592,929.81 = 238,698.90/x
  3. Step 3: Cross multiply
    429,673.86x = 592,929.81 × 238,698.90
  4. Step 4: Simplify right side
    429,673.86x = 141,531,693,424.21
  5. Step 5: Solve for x
    x = 141,531,693,424.21/429,673.86
  6. Step 6: Final answer
    x = 329,393.31

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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.