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Finding the Fourth Proportional to 434,416.80, 651,625.20 and 209,091

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Solution

The fourth proportional to 434,416.80, 651,625.20 and 209,091 is: 313,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,416.80 : 651,625.20 = 209,091 : x
  2. Step 2: Convert to fraction form
    434,416.80/651,625.20 = 209,091/x
  3. Step 3: Cross multiply
    434,416.80x = 651,625.20 × 209,091
  4. Step 4: Simplify right side
    434,416.80x = 136,248,964,693.20
  5. Step 5: Solve for x
    x = 136,248,964,693.20/434,416.80
  6. Step 6: Final answer
    x = 313,636.50

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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.