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Finding the Fourth Proportional to 401,878.44, 602,909.64 and 174,212.10

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Solution

The fourth proportional to 401,878.44, 602,909.64 and 174,212.10 is: 261,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,878.44 : 602,909.64 = 174,212.10 : x
  2. Step 2: Convert to fraction form
    401,878.44/602,909.64 = 174,212.10/x
  3. Step 3: Cross multiply
    401,878.44x = 602,909.64 × 174,212.10
  4. Step 4: Simplify right side
    401,878.44x = 105,034,154,494.64
  5. Step 5: Solve for x
    x = 105,034,154,494.64/401,878.44
  6. Step 6: Final answer
    x = 261,358.02

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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.