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Finding the Fourth Proportional to 294,771.10, 406,495.12 and 187,154.30

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Solution

The fourth proportional to 294,771.10, 406,495.12 and 187,154.30 is: 258,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,771.10 : 406,495.12 = 187,154.30 : x
  2. Step 2: Convert to fraction form
    294,771.10/406,495.12 = 187,154.30/x
  3. Step 3: Cross multiply
    294,771.10x = 406,495.12 × 187,154.30
  4. Step 4: Simplify right side
    294,771.10x = 76,077,309,637.02
  5. Step 5: Solve for x
    x = 76,077,309,637.02/294,771.10
  6. Step 6: Final answer
    x = 258,089.45

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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.