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Finding the Fourth Proportional to 299,526.34, 413,347.06 and 163,560.55

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Solution

The fourth proportional to 299,526.34, 413,347.06 and 163,560.55 is: 225,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,526.34 : 413,347.06 = 163,560.55 : x
  2. Step 2: Convert to fraction form
    299,526.34/413,347.06 = 163,560.55/x
  3. Step 3: Cross multiply
    299,526.34x = 413,347.06 × 163,560.55
  4. Step 4: Simplify right side
    299,526.34x = 67,607,272,474.48
  5. Step 5: Solve for x
    x = 67,607,272,474.48/299,526.34
  6. Step 6: Final answer
    x = 225,713.95

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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.