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Finding the Fourth Proportional to 650,178.40, 975,267.60 and 414,565.60

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Solution

The fourth proportional to 650,178.40, 975,267.60 and 414,565.60 is: 621,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,178.40 : 975,267.60 = 414,565.60 : x
  2. Step 2: Convert to fraction form
    650,178.40/975,267.60 = 414,565.60/x
  3. Step 3: Cross multiply
    650,178.40x = 975,267.60 × 414,565.60
  4. Step 4: Simplify right side
    650,178.40x = 404,312,397,754.56
  5. Step 5: Solve for x
    x = 404,312,397,754.56/650,178.40
  6. Step 6: Final answer
    x = 621,848.40

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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.