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Finding the Fourth Proportional to 270,534.10, 405,412.95 and 151,955.87

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Solution

The fourth proportional to 270,534.10, 405,412.95 and 151,955.87 is: 227,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,534.10 : 405,412.95 = 151,955.87 : x
  2. Step 2: Convert to fraction form
    270,534.10/405,412.95 = 151,955.87/x
  3. Step 3: Cross multiply
    270,534.10x = 405,412.95 × 151,955.87
  4. Step 4: Simplify right side
    270,534.10x = 61,604,877,526.52
  5. Step 5: Solve for x
    x = 61,604,877,526.52/270,534.10
  6. Step 6: Final answer
    x = 227,715.76

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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.