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Finding the Fourth Proportional to 381,698.20, 572,547.30 and 232,231.60

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Solution

The fourth proportional to 381,698.20, 572,547.30 and 232,231.60 is: 348,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,698.20 : 572,547.30 = 232,231.60 : x
  2. Step 2: Convert to fraction form
    381,698.20/572,547.30 = 232,231.60/x
  3. Step 3: Cross multiply
    381,698.20x = 572,547.30 × 232,231.60
  4. Step 4: Simplify right side
    381,698.20x = 132,963,575,554.68
  5. Step 5: Solve for x
    x = 132,963,575,554.68/381,698.20
  6. Step 6: Final answer
    x = 348,347.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.