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Finding the Fourth Proportional to 506,838.40, 760,282.88 and 151,818.60

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Solution

The fourth proportional to 506,838.40, 760,282.88 and 151,818.60 is: 227,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,838.40 : 760,282.88 = 151,818.60 : x
  2. Step 2: Convert to fraction form
    506,838.40/760,282.88 = 151,818.60/x
  3. Step 3: Cross multiply
    506,838.40x = 760,282.88 × 151,818.60
  4. Step 4: Simplify right side
    506,838.40x = 115,425,084,537.54
  5. Step 5: Solve for x
    x = 115,425,084,537.54/506,838.40
  6. Step 6: Final answer
    x = 227,735.48

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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.