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Finding the Fourth Proportional to 403,954.40, 605,931.60 and 341,746.40

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Solution

The fourth proportional to 403,954.40, 605,931.60 and 341,746.40 is: 512,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,954.40 : 605,931.60 = 341,746.40 : x
  2. Step 2: Convert to fraction form
    403,954.40/605,931.60 = 341,746.40/x
  3. Step 3: Cross multiply
    403,954.40x = 605,931.60 × 341,746.40
  4. Step 4: Simplify right side
    403,954.40x = 207,074,942,946.24
  5. Step 5: Solve for x
    x = 207,074,942,946.24/403,954.40
  6. Step 6: Final answer
    x = 512,619.60

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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.