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Finding the Fourth Proportional to 399,471.04, 598,681.44 and 197,178.40

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Solution

The fourth proportional to 399,471.04, 598,681.44 and 197,178.40 is: 295,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,471.04 : 598,681.44 = 197,178.40 : x
  2. Step 2: Convert to fraction form
    399,471.04/598,681.44 = 197,178.40/x
  3. Step 3: Cross multiply
    399,471.04x = 598,681.44 × 197,178.40
  4. Step 4: Simplify right side
    399,471.04x = 118,047,048,448.90
  5. Step 5: Solve for x
    x = 118,047,048,448.90/399,471.04
  6. Step 6: Final answer
    x = 295,508.40

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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.