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Finding the Fourth Proportional to 501,275.91, 751,901.45 and 146,293.01

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Solution

The fourth proportional to 501,275.91, 751,901.45 and 146,293.01 is: 219,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,275.91 : 751,901.45 = 146,293.01 : x
  2. Step 2: Convert to fraction form
    501,275.91/751,901.45 = 146,293.01/x
  3. Step 3: Cross multiply
    501,275.91x = 751,901.45 × 146,293.01
  4. Step 4: Simplify right side
    501,275.91x = 109,997,921,852.89
  5. Step 5: Solve for x
    x = 109,997,921,852.89/501,275.91
  6. Step 6: Final answer
    x = 219,435.88

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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.