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Finding the Fourth Proportional to 296,397.50, 409,028.58 and 162,261.50

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Solution

The fourth proportional to 296,397.50, 409,028.58 and 162,261.50 is: 223,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,397.50 : 409,028.58 = 162,261.50 : x
  2. Step 2: Convert to fraction form
    296,397.50/409,028.58 = 162,261.50/x
  3. Step 3: Cross multiply
    296,397.50x = 409,028.58 × 162,261.50
  4. Step 4: Simplify right side
    296,397.50x = 66,369,590,933.67
  5. Step 5: Solve for x
    x = 66,369,590,933.67/296,397.50
  6. Step 6: Final answer
    x = 223,920.89

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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.