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Finding the Fourth Proportional to 513,673.50, 708,821.16 and 347,763.98

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Solution

The fourth proportional to 513,673.50, 708,821.16 and 347,763.98 is: 479,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,673.50 : 708,821.16 = 347,763.98 : x
  2. Step 2: Convert to fraction form
    513,673.50/708,821.16 = 347,763.98/x
  3. Step 3: Cross multiply
    513,673.50x = 708,821.16 × 347,763.98
  4. Step 4: Simplify right side
    513,673.50x = 246,502,466,602.16
  5. Step 5: Solve for x
    x = 246,502,466,602.16/513,673.50
  6. Step 6: Final answer
    x = 479,881.61

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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.