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Finding the Fourth Proportional to 374,106.83, 561,347.96 and 174,442.84

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Solution

The fourth proportional to 374,106.83, 561,347.96 and 174,442.84 is: 261,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,106.83 : 561,347.96 = 174,442.84 : x
  2. Step 2: Convert to fraction form
    374,106.83/561,347.96 = 174,442.84/x
  3. Step 3: Cross multiply
    374,106.83x = 561,347.96 × 174,442.84
  4. Step 4: Simplify right side
    374,106.83x = 97,923,130,095.02
  5. Step 5: Solve for x
    x = 97,923,130,095.02/374,106.83
  6. Step 6: Final answer
    x = 261,751.79

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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.