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Finding the Fourth Proportional to 398,172.63, 596,724.27 and 195,459.24

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Solution

The fourth proportional to 398,172.63, 596,724.27 and 195,459.24 is: 292,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,172.63 : 596,724.27 = 195,459.24 : x
  2. Step 2: Convert to fraction form
    398,172.63/596,724.27 = 195,459.24/x
  3. Step 3: Cross multiply
    398,172.63x = 596,724.27 × 195,459.24
  4. Step 4: Simplify right side
    398,172.63x = 116,635,272,303.76
  5. Step 5: Solve for x
    x = 116,635,272,303.76/398,172.63
  6. Step 6: Final answer
    x = 292,926.39

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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.