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Finding the Fourth Proportional to 553,574.20, 829,842.90 and 433,564.60

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Solution

The fourth proportional to 553,574.20, 829,842.90 and 433,564.60 is: 649,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,574.20 : 829,842.90 = 433,564.60 : x
  2. Step 2: Convert to fraction form
    553,574.20/829,842.90 = 433,564.60/x
  3. Step 3: Cross multiply
    553,574.20x = 829,842.90 × 433,564.60
  4. Step 4: Simplify right side
    553,574.20x = 359,790,505,001.34
  5. Step 5: Solve for x
    x = 359,790,505,001.34/553,574.20
  6. Step 6: Final answer
    x = 649,940.88

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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.