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Finding the Fourth Proportional to 294,444.95, 406,303.51 and 165,397.91

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Solution

The fourth proportional to 294,444.95, 406,303.51 and 165,397.91 is: 228,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,444.95 : 406,303.51 = 165,397.91 : x
  2. Step 2: Convert to fraction form
    294,444.95/406,303.51 = 165,397.91/x
  3. Step 3: Cross multiply
    294,444.95x = 406,303.51 × 165,397.91
  4. Step 4: Simplify right side
    294,444.95x = 67,201,751,379.66
  5. Step 5: Solve for x
    x = 67,201,751,379.66/294,444.95
  6. Step 6: Final answer
    x = 228,231.97

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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.