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Finding the Fourth Proportional to 292,502.40, 438,651.20 and 152,214.40

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Solution

The fourth proportional to 292,502.40, 438,651.20 and 152,214.40 is: 228,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,502.40 : 438,651.20 = 152,214.40 : x
  2. Step 2: Convert to fraction form
    292,502.40/438,651.20 = 152,214.40/x
  3. Step 3: Cross multiply
    292,502.40x = 438,651.20 × 152,214.40
  4. Step 4: Simplify right side
    292,502.40x = 66,769,029,217.28
  5. Step 5: Solve for x
    x = 66,769,029,217.28/292,502.40
  6. Step 6: Final answer
    x = 228,268.31

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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.