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Finding the Fourth Proportional to 374,465.10, 561,697.65 and 164,513.10

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Solution

The fourth proportional to 374,465.10, 561,697.65 and 164,513.10 is: 246,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,465.10 : 561,697.65 = 164,513.10 : x
  2. Step 2: Convert to fraction form
    374,465.10/561,697.65 = 164,513.10/x
  3. Step 3: Cross multiply
    374,465.10x = 561,697.65 × 164,513.10
  4. Step 4: Simplify right side
    374,465.10x = 92,406,621,664.22
  5. Step 5: Solve for x
    x = 92,406,621,664.22/374,465.10
  6. Step 6: Final answer
    x = 246,769.65

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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.