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Finding the Fourth Proportional to 254,968.40, 382,598.40 and 176,139.20

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Solution

The fourth proportional to 254,968.40, 382,598.40 and 176,139.20 is: 264,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,968.40 : 382,598.40 = 176,139.20 : x
  2. Step 2: Convert to fraction form
    254,968.40/382,598.40 = 176,139.20/x
  3. Step 3: Cross multiply
    254,968.40x = 382,598.40 × 176,139.20
  4. Step 4: Simplify right side
    254,968.40x = 67,390,576,097.28
  5. Step 5: Solve for x
    x = 67,390,576,097.28/254,968.40
  6. Step 6: Final answer
    x = 264,309.52

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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.