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Finding the Fourth Proportional to 495,703.41, 684,068.32 and 280,843.01

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Solution

The fourth proportional to 495,703.41, 684,068.32 and 280,843.01 is: 387,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,703.41 : 684,068.32 = 280,843.01 : x
  2. Step 2: Convert to fraction form
    495,703.41/684,068.32 = 280,843.01/x
  3. Step 3: Cross multiply
    495,703.41x = 684,068.32 × 280,843.01
  4. Step 4: Simplify right side
    495,703.41x = 192,115,806,034.44
  5. Step 5: Solve for x
    x = 192,115,806,034.44/495,703.41
  6. Step 6: Final answer
    x = 387,562.00

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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.