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Finding the Fourth Proportional to 295,401.71, 407,514.76 and 174,462.23

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Solution

The fourth proportional to 295,401.71, 407,514.76 and 174,462.23 is: 240,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,401.71 : 407,514.76 = 174,462.23 : x
  2. Step 2: Convert to fraction form
    295,401.71/407,514.76 = 174,462.23/x
  3. Step 3: Cross multiply
    295,401.71x = 407,514.76 × 174,462.23
  4. Step 4: Simplify right side
    295,401.71x = 71,095,931,313.79
  5. Step 5: Solve for x
    x = 71,095,931,313.79/295,401.71
  6. Step 6: Final answer
    x = 240,675.43

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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.