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Finding the Fourth Proportional to 316,030.60, 474,305.10 and 305,662.60

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Solution

The fourth proportional to 316,030.60, 474,305.10 and 305,662.60 is: 458,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,030.60 : 474,305.10 = 305,662.60 : x
  2. Step 2: Convert to fraction form
    316,030.60/474,305.10 = 305,662.60/x
  3. Step 3: Cross multiply
    316,030.60x = 474,305.10 × 305,662.60
  4. Step 4: Simplify right side
    316,030.60x = 144,977,330,059.26
  5. Step 5: Solve for x
    x = 144,977,330,059.26/316,030.60
  6. Step 6: Final answer
    x = 458,744.60

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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.