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Finding the Fourth Proportional to 299,567.94, 413,407.08 and 163,605.90

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Solution

The fourth proportional to 299,567.94, 413,407.08 and 163,605.90 is: 225,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,567.94 : 413,407.08 = 163,605.90 : x
  2. Step 2: Convert to fraction form
    299,567.94/413,407.08 = 163,605.90/x
  3. Step 3: Cross multiply
    299,567.94x = 413,407.08 × 163,605.90
  4. Step 4: Simplify right side
    299,567.94x = 67,635,837,389.77
  5. Step 5: Solve for x
    x = 67,635,837,389.77/299,567.94
  6. Step 6: Final answer
    x = 225,777.96

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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.