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Finding the Fourth Proportional to 289,321.60, 433,982.40 and 243,702.40

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Solution

The fourth proportional to 289,321.60, 433,982.40 and 243,702.40 is: 365,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.60 : 433,982.40 = 243,702.40 : x
  2. Step 2: Convert to fraction form
    289,321.60/433,982.40 = 243,702.40/x
  3. Step 3: Cross multiply
    289,321.60x = 433,982.40 × 243,702.40
  4. Step 4: Simplify right side
    289,321.60x = 105,762,552,437.76
  5. Step 5: Solve for x
    x = 105,762,552,437.76/289,321.60
  6. Step 6: Final answer
    x = 365,553.60

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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.