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Finding the Fourth Proportional to 294,444.86, 406,343.90 and 165,406.10

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Solution

The fourth proportional to 294,444.86, 406,343.90 and 165,406.10 is: 228,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,444.86 : 406,343.90 = 165,406.10 : x
  2. Step 2: Convert to fraction form
    294,444.86/406,343.90 = 165,406.10/x
  3. Step 3: Cross multiply
    294,444.86x = 406,343.90 × 165,406.10
  4. Step 4: Simplify right side
    294,444.86x = 67,211,758,930.76
  5. Step 5: Solve for x
    x = 67,211,758,930.76/294,444.86
  6. Step 6: Final answer
    x = 228,266.03

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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.