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Finding the Fourth Proportional to 409,893.18, 565,666.66 and 237,798.16

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Solution

The fourth proportional to 409,893.18, 565,666.66 and 237,798.16 is: 328,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.18 : 565,666.66 = 237,798.16 : x
  2. Step 2: Convert to fraction form
    409,893.18/565,666.66 = 237,798.16/x
  3. Step 3: Cross multiply
    409,893.18x = 565,666.66 × 237,798.16
  4. Step 4: Simplify right side
    409,893.18x = 134,514,490,921.35
  5. Step 5: Solve for x
    x = 134,514,490,921.35/409,893.18
  6. Step 6: Final answer
    x = 328,169.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.