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Finding the Fourth Proportional to 464,421.60, 695,710.80 and 267,199.20

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Solution

The fourth proportional to 464,421.60, 695,710.80 and 267,199.20 is: 400,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,421.60 : 695,710.80 = 267,199.20 : x
  2. Step 2: Convert to fraction form
    464,421.60/695,710.80 = 267,199.20/x
  3. Step 3: Cross multiply
    464,421.60x = 695,710.80 × 267,199.20
  4. Step 4: Simplify right side
    464,421.60x = 185,893,369,191.36
  5. Step 5: Solve for x
    x = 185,893,369,191.36/464,421.60
  6. Step 6: Final answer
    x = 400,268.57

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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.