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Finding the Fourth Proportional to 563,151.29, 776,954.02 and 427,043.45

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Solution

The fourth proportional to 563,151.29, 776,954.02 and 427,043.45 is: 589,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,151.29 : 776,954.02 = 427,043.45 : x
  2. Step 2: Convert to fraction form
    563,151.29/776,954.02 = 427,043.45/x
  3. Step 3: Cross multiply
    563,151.29x = 776,954.02 × 427,043.45
  4. Step 4: Simplify right side
    563,151.29x = 331,793,125,192.17
  5. Step 5: Solve for x
    x = 331,793,125,192.17/563,151.29
  6. Step 6: Final answer
    x = 589,172.27

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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.