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Finding the Fourth Proportional to 570,765.63, 856,188.40 and 229,209.00

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Solution

The fourth proportional to 570,765.63, 856,188.40 and 229,209.00 is: 343,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,765.63 : 856,188.40 = 229,209.00 : x
  2. Step 2: Convert to fraction form
    570,765.63/856,188.40 = 229,209.00/x
  3. Step 3: Cross multiply
    570,765.63x = 856,188.40 × 229,209.00
  4. Step 4: Simplify right side
    570,765.63x = 196,246,090,009.10
  5. Step 5: Solve for x
    x = 196,246,090,009.10/570,765.63
  6. Step 6: Final answer
    x = 343,829.55

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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.