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Finding the Fourth Proportional to 617,864.40, 926,796.60 and 380,437.20

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Solution

The fourth proportional to 617,864.40, 926,796.60 and 380,437.20 is: 570,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,864.40 : 926,796.60 = 380,437.20 : x
  2. Step 2: Convert to fraction form
    617,864.40/926,796.60 = 380,437.20/x
  3. Step 3: Cross multiply
    617,864.40x = 926,796.60 × 380,437.20
  4. Step 4: Simplify right side
    617,864.40x = 352,587,903,473.52
  5. Step 5: Solve for x
    x = 352,587,903,473.52/617,864.40
  6. Step 6: Final answer
    x = 570,655.80

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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.