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Finding the Fourth Proportional to 297,199.80, 410,127.72 and 180,869.64

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Solution

The fourth proportional to 297,199.80, 410,127.72 and 180,869.64 is: 249,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,199.80 : 410,127.72 = 180,869.64 : x
  2. Step 2: Convert to fraction form
    297,199.80/410,127.72 = 180,869.64/x
  3. Step 3: Cross multiply
    297,199.80x = 410,127.72 × 180,869.64
  4. Step 4: Simplify right side
    297,199.80x = 74,179,653,070.42
  5. Step 5: Solve for x
    x = 74,179,653,070.42/297,199.80
  6. Step 6: Final answer
    x = 249,595.23

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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.