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Finding the Fourth Proportional to 360,312.71, 497,231.64 and 196,969.92

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Solution

The fourth proportional to 360,312.71, 497,231.64 and 196,969.92 is: 271,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,312.71 : 497,231.64 = 196,969.92 : x
  2. Step 2: Convert to fraction form
    360,312.71/497,231.64 = 196,969.92/x
  3. Step 3: Cross multiply
    360,312.71x = 497,231.64 × 196,969.92
  4. Step 4: Simplify right side
    360,312.71x = 97,939,676,352.27
  5. Step 5: Solve for x
    x = 97,939,676,352.27/360,312.71
  6. Step 6: Final answer
    x = 271,818.55

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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.