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Finding the Fourth Proportional to 593,298.50, 889,940.10 and 144,023

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Solution

The fourth proportional to 593,298.50, 889,940.10 and 144,023 is: 216,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,298.50 : 889,940.10 = 144,023 : x
  2. Step 2: Convert to fraction form
    593,298.50/889,940.10 = 144,023/x
  3. Step 3: Cross multiply
    593,298.50x = 889,940.10 × 144,023
  4. Step 4: Simplify right side
    593,298.50x = 128,171,843,022.30
  5. Step 5: Solve for x
    x = 128,171,843,022.30/593,298.50
  6. Step 6: Final answer
    x = 216,032.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.