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Finding the Fourth Proportional to 288,549.90, 432,824.85 and 164,133.90

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Solution

The fourth proportional to 288,549.90, 432,824.85 and 164,133.90 is: 246,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,549.90 : 432,824.85 = 164,133.90 : x
  2. Step 2: Convert to fraction form
    288,549.90/432,824.85 = 164,133.90/x
  3. Step 3: Cross multiply
    288,549.90x = 432,824.85 × 164,133.90
  4. Step 4: Simplify right side
    288,549.90x = 71,041,230,647.42
  5. Step 5: Solve for x
    x = 71,041,230,647.42/288,549.90
  6. Step 6: Final answer
    x = 246,200.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.