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Finding the Fourth Proportional to 563,534.25, 777,756.98 and 348,743.51

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Solution

The fourth proportional to 563,534.25, 777,756.98 and 348,743.51 is: 481,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,534.25 : 777,756.98 = 348,743.51 : x
  2. Step 2: Convert to fraction form
    563,534.25/777,756.98 = 348,743.51/x
  3. Step 3: Cross multiply
    563,534.25x = 777,756.98 × 348,743.51
  4. Step 4: Simplify right side
    563,534.25x = 271,237,701,948.45
  5. Step 5: Solve for x
    x = 271,237,701,948.45/563,534.25
  6. Step 6: Final answer
    x = 481,315.38

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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.