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Finding the Fourth Proportional to 467,020, 700,530 and 151,476.91

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Solution

The fourth proportional to 467,020, 700,530 and 151,476.91 is: 227,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,020 : 700,530 = 151,476.91 : x
  2. Step 2: Convert to fraction form
    467,020/700,530 = 151,476.91/x
  3. Step 3: Cross multiply
    467,020x = 700,530 × 151,476.91
  4. Step 4: Simplify right side
    467,020x = 106,114,116,259.65
  5. Step 5: Solve for x
    x = 106,114,116,259.65/467,020
  6. Step 6: Final answer
    x = 227,215.36

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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.