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Finding the Fourth Proportional to 761,502.84, 1,050,880.14 and 421,976.76

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Solution

The fourth proportional to 761,502.84, 1,050,880.14 and 421,976.76 is: 582,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,502.84 : 1,050,880.14 = 421,976.76 : x
  2. Step 2: Convert to fraction form
    761,502.84/1,050,880.14 = 421,976.76/x
  3. Step 3: Cross multiply
    761,502.84x = 1,050,880.14 × 421,976.76
  4. Step 4: Simplify right side
    761,502.84x = 443,446,996,625.55
  5. Step 5: Solve for x
    x = 443,446,996,625.55/761,502.84
  6. Step 6: Final answer
    x = 582,331.38

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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.