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Finding the Fourth Proportional to 294,439.95, 406,327.17 and 160,303.95

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Solution

The fourth proportional to 294,439.95, 406,327.17 and 160,303.95 is: 221,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,439.95 : 406,327.17 = 160,303.95 : x
  2. Step 2: Convert to fraction form
    294,439.95/406,327.17 = 160,303.95/x
  3. Step 3: Cross multiply
    294,439.95x = 406,327.17 × 160,303.95
  4. Step 4: Simplify right side
    294,439.95x = 65,135,850,343.32
  5. Step 5: Solve for x
    x = 65,135,850,343.32/294,439.95
  6. Step 6: Final answer
    x = 221,219.47

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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.