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Finding the Fourth Proportional to 294,498.83, 406,397.63 and 179,969.18

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Solution

The fourth proportional to 294,498.83, 406,397.63 and 179,969.18 is: 248,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,498.83 : 406,397.63 = 179,969.18 : x
  2. Step 2: Convert to fraction form
    294,498.83/406,397.63 = 179,969.18/x
  3. Step 3: Cross multiply
    294,498.83x = 406,397.63 × 179,969.18
  4. Step 4: Simplify right side
    294,498.83x = 73,139,045,968.09
  5. Step 5: Solve for x
    x = 73,139,045,968.09/294,498.83
  6. Step 6: Final answer
    x = 248,350.89

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1.5x scale

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.