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Finding the Fourth Proportional to 469,997.16, 704,970.88 and 290,116.68

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Solution

The fourth proportional to 469,997.16, 704,970.88 and 290,116.68 is: 435,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,997.16 : 704,970.88 = 290,116.68 : x
  2. Step 2: Convert to fraction form
    469,997.16/704,970.88 = 290,116.68/x
  3. Step 3: Cross multiply
    469,997.16x = 704,970.88 × 290,116.68
  4. Step 4: Simplify right side
    469,997.16x = 204,523,811,202.28
  5. Step 5: Solve for x
    x = 204,523,811,202.28/469,997.16
  6. Step 6: Final answer
    x = 435,159.67

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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.