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Finding the Fourth Proportional to 833,688, 1,150,490.19 and 451,714.77

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Solution

The fourth proportional to 833,688, 1,150,490.19 and 451,714.77 is: 623,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,688 : 1,150,490.19 = 451,714.77 : x
  2. Step 2: Convert to fraction form
    833,688/1,150,490.19 = 451,714.77/x
  3. Step 3: Cross multiply
    833,688x = 1,150,490.19 × 451,714.77
  4. Step 4: Simplify right side
    833,688x = 519,693,411,563.11
  5. Step 5: Solve for x
    x = 519,693,411,563.11/833,688
  6. Step 6: Final answer
    x = 623,366.79

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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.