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Finding the Fourth Proportional to 589,085.84, 812,970.96 and 347,510

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Solution

The fourth proportional to 589,085.84, 812,970.96 and 347,510 is: 479,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,085.84 : 812,970.96 = 347,510 : x
  2. Step 2: Convert to fraction form
    589,085.84/812,970.96 = 347,510/x
  3. Step 3: Cross multiply
    589,085.84x = 812,970.96 × 347,510
  4. Step 4: Simplify right side
    589,085.84x = 282,515,538,309.60
  5. Step 5: Solve for x
    x = 282,515,538,309.60/589,085.84
  6. Step 6: Final answer
    x = 479,582.97

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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.