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Finding the Fourth Proportional to 506,823.57, 760,260.65 and 151,803.77

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Solution

The fourth proportional to 506,823.57, 760,260.65 and 151,803.77 is: 227,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,823.57 : 760,260.65 = 151,803.77 : x
  2. Step 2: Convert to fraction form
    506,823.57/760,260.65 = 151,803.77/x
  3. Step 3: Cross multiply
    506,823.57x = 760,260.65 × 151,803.77
  4. Step 4: Simplify right side
    506,823.57x = 115,410,428,292.33
  5. Step 5: Solve for x
    x = 115,410,428,292.33/506,823.57
  6. Step 6: Final answer
    x = 227,713.22

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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.