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Finding the Fourth Proportional to 650,607.80, 975,863.10 and 271,430.60

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Solution

The fourth proportional to 650,607.80, 975,863.10 and 271,430.60 is: 407,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,607.80 : 975,863.10 = 271,430.60 : x
  2. Step 2: Convert to fraction form
    650,607.80/975,863.10 = 271,430.60/x
  3. Step 3: Cross multiply
    650,607.80x = 975,863.10 × 271,430.60
  4. Step 4: Simplify right side
    650,607.80x = 264,879,106,750.86
  5. Step 5: Solve for x
    x = 264,879,106,750.86/650,607.80
  6. Step 6: Final answer
    x = 407,125.62

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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.