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Finding the Fourth Proportional to 593,281.56, 889,914.60 and 144,006

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Solution

The fourth proportional to 593,281.56, 889,914.60 and 144,006 is: 216,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,281.56 : 889,914.60 = 144,006 : x
  2. Step 2: Convert to fraction form
    593,281.56/889,914.60 = 144,006/x
  3. Step 3: Cross multiply
    593,281.56x = 889,914.60 × 144,006
  4. Step 4: Simplify right side
    593,281.56x = 128,153,041,887.60
  5. Step 5: Solve for x
    x = 128,153,041,887.60/593,281.56
  6. Step 6: Final answer
    x = 216,007.12

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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.