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Finding the Fourth Proportional to 294,647.02, 406,602.14 and 180,117.48

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Solution

The fourth proportional to 294,647.02, 406,602.14 and 180,117.48 is: 248,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,647.02 : 406,602.14 = 180,117.48 : x
  2. Step 2: Convert to fraction form
    294,647.02/406,602.14 = 180,117.48/x
  3. Step 3: Cross multiply
    294,647.02x = 406,602.14 × 180,117.48
  4. Step 4: Simplify right side
    294,647.02x = 73,236,152,819.41
  5. Step 5: Solve for x
    x = 73,236,152,819.41/294,647.02
  6. Step 6: Final answer
    x = 248,555.55

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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.