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Finding the Fourth Proportional to 368,312.40, 552,468.60 and 309,214.80

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Solution

The fourth proportional to 368,312.40, 552,468.60 and 309,214.80 is: 463,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,312.40 : 552,468.60 = 309,214.80 : x
  2. Step 2: Convert to fraction form
    368,312.40/552,468.60 = 309,214.80/x
  3. Step 3: Cross multiply
    368,312.40x = 552,468.60 × 309,214.80
  4. Step 4: Simplify right side
    368,312.40x = 170,831,467,655.28
  5. Step 5: Solve for x
    x = 170,831,467,655.28/368,312.40
  6. Step 6: Final answer
    x = 463,822.20

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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.