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Finding the Fourth Proportional to 474,293.30, 711,720.26 and 174,984.12

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Solution

The fourth proportional to 474,293.30, 711,720.26 and 174,984.12 is: 262,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,293.30 : 711,720.26 = 174,984.12 : x
  2. Step 2: Convert to fraction form
    474,293.30/711,720.26 = 174,984.12/x
  3. Step 3: Cross multiply
    474,293.30x = 711,720.26 × 174,984.12
  4. Step 4: Simplify right side
    474,293.30x = 124,539,742,507.35
  5. Step 5: Solve for x
    x = 124,539,742,507.35/474,293.30
  6. Step 6: Final answer
    x = 262,579.60

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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.