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Finding the Fourth Proportional to 495,794, 685,997.16 and 432,264.08

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Solution

The fourth proportional to 495,794, 685,997.16 and 432,264.08 is: 598,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,794 : 685,997.16 = 432,264.08 : x
  2. Step 2: Convert to fraction form
    495,794/685,997.16 = 432,264.08/x
  3. Step 3: Cross multiply
    495,794x = 685,997.16 × 432,264.08
  4. Step 4: Simplify right side
    495,794x = 296,531,931,250.01
  5. Step 5: Solve for x
    x = 296,531,931,250.01/495,794
  6. Step 6: Final answer
    x = 598,095.04

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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.