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Finding the Fourth Proportional to 593,302.44, 889,953.96 and 144,024

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Solution

The fourth proportional to 593,302.44, 889,953.96 and 144,024 is: 216,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,302.44 : 889,953.96 = 144,024 : x
  2. Step 2: Convert to fraction form
    593,302.44/889,953.96 = 144,024/x
  3. Step 3: Cross multiply
    593,302.44x = 889,953.96 × 144,024
  4. Step 4: Simplify right side
    593,302.44x = 128,174,729,135.04
  5. Step 5: Solve for x
    x = 128,174,729,135.04/593,302.44
  6. Step 6: Final answer
    x = 216,036.07

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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.