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Finding the Fourth Proportional to 295,227.42, 407,402.06 and 174,407.50

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Solution

The fourth proportional to 295,227.42, 407,402.06 and 174,407.50 is: 240,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,227.42 : 407,402.06 = 174,407.50 : x
  2. Step 2: Convert to fraction form
    295,227.42/407,402.06 = 174,407.50/x
  3. Step 3: Cross multiply
    295,227.42x = 407,402.06 × 174,407.50
  4. Step 4: Simplify right side
    295,227.42x = 71,053,974,779.45
  5. Step 5: Solve for x
    x = 71,053,974,779.45/295,227.42
  6. Step 6: Final answer
    x = 240,675.39

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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.