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Finding the Fourth Proportional to 429,673.36, 592,929.12 and 238,698.40

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Solution

The fourth proportional to 429,673.36, 592,929.12 and 238,698.40 is: 329,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,673.36 : 592,929.12 = 238,698.40 : x
  2. Step 2: Convert to fraction form
    429,673.36/592,929.12 = 238,698.40/x
  3. Step 3: Cross multiply
    429,673.36x = 592,929.12 × 238,698.40
  4. Step 4: Simplify right side
    429,673.36x = 141,531,232,257.41
  5. Step 5: Solve for x
    x = 141,531,232,257.41/429,673.36
  6. Step 6: Final answer
    x = 329,392.62

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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.