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Finding the Fourth Proportional to 506,809.37, 760,214.03 and 233,227.95

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Solution

The fourth proportional to 506,809.37, 760,214.03 and 233,227.95 is: 349,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,809.37 : 760,214.03 = 233,227.95 : x
  2. Step 2: Convert to fraction form
    506,809.37/760,214.03 = 233,227.95/x
  3. Step 3: Cross multiply
    506,809.37x = 760,214.03 × 233,227.95
  4. Step 4: Simplify right side
    506,809.37x = 177,303,158,612.00
  5. Step 5: Solve for x
    x = 177,303,158,612.00/506,809.37
  6. Step 6: Final answer
    x = 349,841.91

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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.