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Finding the Fourth Proportional to 560,866.32, 841,301.64 and 140,142.60

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Solution

The fourth proportional to 560,866.32, 841,301.64 and 140,142.60 is: 210,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,866.32 : 841,301.64 = 140,142.60 : x
  2. Step 2: Convert to fraction form
    560,866.32/841,301.64 = 140,142.60/x
  3. Step 3: Cross multiply
    560,866.32x = 841,301.64 × 140,142.60
  4. Step 4: Simplify right side
    560,866.32x = 117,902,199,213.86
  5. Step 5: Solve for x
    x = 117,902,199,213.86/560,866.32
  6. Step 6: Final answer
    x = 210,214.44

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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.