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Finding the Fourth Proportional to 301,490.61, 416,063.59 and 172,441.00

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Solution

The fourth proportional to 301,490.61, 416,063.59 and 172,441.00 is: 237,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,490.61 : 416,063.59 = 172,441.00 : x
  2. Step 2: Convert to fraction form
    301,490.61/416,063.59 = 172,441.00/x
  3. Step 3: Cross multiply
    301,490.61x = 416,063.59 × 172,441.00
  4. Step 4: Simplify right side
    301,490.61x = 71,746,421,612.17
  5. Step 5: Solve for x
    x = 71,746,421,612.17/301,490.61
  6. Step 6: Final answer
    x = 237,972.33

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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.