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Finding the Fourth Proportional to 288,419.34, 432,900.36 and 146,366.58

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Solution

The fourth proportional to 288,419.34, 432,900.36 and 146,366.58 is: 219,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,419.34 : 432,900.36 = 146,366.58 : x
  2. Step 2: Convert to fraction form
    288,419.34/432,900.36 = 146,366.58/x
  3. Step 3: Cross multiply
    288,419.34x = 432,900.36 × 146,366.58
  4. Step 4: Simplify right side
    288,419.34x = 63,362,145,173.97
  5. Step 5: Solve for x
    x = 63,362,145,173.97/288,419.34
  6. Step 6: Final answer
    x = 219,687.57

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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.