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Finding the Fourth Proportional to 506,810.59, 699,392.08 and 277,363.76

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Solution

The fourth proportional to 506,810.59, 699,392.08 and 277,363.76 is: 382,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,810.59 : 699,392.08 = 277,363.76 : x
  2. Step 2: Convert to fraction form
    506,810.59/699,392.08 = 277,363.76/x
  3. Step 3: Cross multiply
    506,810.59x = 699,392.08 × 277,363.76
  4. Step 4: Simplify right side
    506,810.59x = 193,986,013,872.77
  5. Step 5: Solve for x
    x = 193,986,013,872.77/506,810.59
  6. Step 6: Final answer
    x = 382,758.41

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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.