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Finding the Fourth Proportional to 514,578.20, 710,117.94 and 313,374.20

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Solution

The fourth proportional to 514,578.20, 710,117.94 and 313,374.20 is: 432,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,578.20 : 710,117.94 = 313,374.20 : x
  2. Step 2: Convert to fraction form
    514,578.20/710,117.94 = 313,374.20/x
  3. Step 3: Cross multiply
    514,578.20x = 710,117.94 × 313,374.20
  4. Step 4: Simplify right side
    514,578.20x = 222,532,637,802.56
  5. Step 5: Solve for x
    x = 222,532,637,802.56/514,578.20
  6. Step 6: Final answer
    x = 432,456.41

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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.