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Finding the Fourth Proportional to 495,792, 685,994.40 and 432,262.08

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Solution

The fourth proportional to 495,792, 685,994.40 and 432,262.08 is: 598,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,792 : 685,994.40 = 432,262.08 : x
  2. Step 2: Convert to fraction form
    495,792/685,994.40 = 432,262.08/x
  3. Step 3: Cross multiply
    495,792x = 685,994.40 × 432,262.08
  4. Step 4: Simplify right side
    495,792x = 296,529,366,212.35
  5. Step 5: Solve for x
    x = 296,529,366,212.35/495,792
  6. Step 6: Final answer
    x = 598,092.28

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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.