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Finding the Fourth Proportional to 495,117.82, 683,289.03 and 280,305.82

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Solution

The fourth proportional to 495,117.82, 683,289.03 and 280,305.82 is: 386,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,117.82 : 683,289.03 = 280,305.82 : x
  2. Step 2: Convert to fraction form
    495,117.82/683,289.03 = 280,305.82/x
  3. Step 3: Cross multiply
    495,117.82x = 683,289.03 × 280,305.82
  4. Step 4: Simplify right side
    495,117.82x = 191,529,891,851.16
  5. Step 5: Solve for x
    x = 191,529,891,851.16/495,117.82
  6. Step 6: Final answer
    x = 386,837.00

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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.