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Finding the Fourth Proportional to 434,185.60, 650,156.74 and 299,664.88

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Solution

The fourth proportional to 434,185.60, 650,156.74 and 299,664.88 is: 448,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,185.60 : 650,156.74 = 299,664.88 : x
  2. Step 2: Convert to fraction form
    434,185.60/650,156.74 = 299,664.88/x
  3. Step 3: Cross multiply
    434,185.60x = 650,156.74 × 299,664.88
  4. Step 4: Simplify right side
    434,185.60x = 194,829,141,473.29
  5. Step 5: Solve for x
    x = 194,829,141,473.29/434,185.60
  6. Step 6: Final answer
    x = 448,723.18

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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.