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Finding the Fourth Proportional to 294,510.20, 406,412.91 and 179,980.38

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Solution

The fourth proportional to 294,510.20, 406,412.91 and 179,980.38 is: 248,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,510.20 : 406,412.91 = 179,980.38 : x
  2. Step 2: Convert to fraction form
    294,510.20/406,412.91 = 179,980.38/x
  3. Step 3: Cross multiply
    294,510.20x = 406,412.91 × 179,980.38
  4. Step 4: Simplify right side
    294,510.20x = 73,146,349,978.71
  5. Step 5: Solve for x
    x = 73,146,349,978.71/294,510.20
  6. Step 6: Final answer
    x = 248,366.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.