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Finding the Fourth Proportional to 340,592.04, 470,038.50 and 189,688.68

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Solution

The fourth proportional to 340,592.04, 470,038.50 and 189,688.68 is: 261,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,592.04 : 470,038.50 = 189,688.68 : x
  2. Step 2: Convert to fraction form
    340,592.04/470,038.50 = 189,688.68/x
  3. Step 3: Cross multiply
    340,592.04x = 470,038.50 × 189,688.68
  4. Step 4: Simplify right side
    340,592.04x = 89,160,982,614.18
  5. Step 5: Solve for x
    x = 89,160,982,614.18/340,592.04
  6. Step 6: Final answer
    x = 261,782.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.