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Finding the Fourth Proportional to 433,869.60, 650,512.80 and 197,090.40

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Solution

The fourth proportional to 433,869.60, 650,512.80 and 197,090.40 is: 295,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,869.60 : 650,512.80 = 197,090.40 : x
  2. Step 2: Convert to fraction form
    433,869.60/650,512.80 = 197,090.40/x
  3. Step 3: Cross multiply
    433,869.60x = 650,512.80 × 197,090.40
  4. Step 4: Simplify right side
    433,869.60x = 128,209,827,957.12
  5. Step 5: Solve for x
    x = 128,209,827,957.12/433,869.60
  6. Step 6: Final answer
    x = 295,503.14

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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.