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Finding the Fourth Proportional to 506,750.61, 699,315.80 and 277,307.94

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Solution

The fourth proportional to 506,750.61, 699,315.80 and 277,307.94 is: 382,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,750.61 : 699,315.80 = 277,307.94 : x
  2. Step 2: Convert to fraction form
    506,750.61/699,315.80 = 277,307.94/x
  3. Step 3: Cross multiply
    506,750.61x = 699,315.80 × 277,307.94
  4. Step 4: Simplify right side
    506,750.61x = 193,925,822,520.91
  5. Step 5: Solve for x
    x = 193,925,822,520.91/506,750.61
  6. Step 6: Final answer
    x = 382,684.93

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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.