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Finding the Fourth Proportional to 650,205.60, 975,308.40 and 318,429.60

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Solution

The fourth proportional to 650,205.60, 975,308.40 and 318,429.60 is: 477,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,205.60 : 975,308.40 = 318,429.60 : x
  2. Step 2: Convert to fraction form
    650,205.60/975,308.40 = 318,429.60/x
  3. Step 3: Cross multiply
    650,205.60x = 975,308.40 × 318,429.60
  4. Step 4: Simplify right side
    650,205.60x = 310,567,063,688.64
  5. Step 5: Solve for x
    x = 310,567,063,688.64/650,205.60
  6. Step 6: Final answer
    x = 477,644.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.