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Finding the Fourth Proportional to 299,810.96, 413,762.64 and 170,754.88

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Solution

The fourth proportional to 299,810.96, 413,762.64 and 170,754.88 is: 235,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,810.96 : 413,762.64 = 170,754.88 : x
  2. Step 2: Convert to fraction form
    299,810.96/413,762.64 = 170,754.88/x
  3. Step 3: Cross multiply
    299,810.96x = 413,762.64 × 170,754.88
  4. Step 4: Simplify right side
    299,810.96x = 70,651,989,941.68
  5. Step 5: Solve for x
    x = 70,651,989,941.68/299,810.96
  6. Step 6: Final answer
    x = 235,655.13

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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.