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Finding the Fourth Proportional to 255,814.40, 384,067.20 and 162,502.40

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Solution

The fourth proportional to 255,814.40, 384,067.20 and 162,502.40 is: 243,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,814.40 : 384,067.20 = 162,502.40 : x
  2. Step 2: Convert to fraction form
    255,814.40/384,067.20 = 162,502.40/x
  3. Step 3: Cross multiply
    255,814.40x = 384,067.20 × 162,502.40
  4. Step 4: Simplify right side
    255,814.40x = 62,411,841,761.28
  5. Step 5: Solve for x
    x = 62,411,841,761.28/255,814.40
  6. Step 6: Final answer
    x = 243,973.14

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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.