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Finding the Fourth Proportional to 488,510.40, 733,197.60 and 288,580.80

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Solution

The fourth proportional to 488,510.40, 733,197.60 and 288,580.80 is: 433,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,510.40 : 733,197.60 = 288,580.80 : x
  2. Step 2: Convert to fraction form
    488,510.40/733,197.60 = 288,580.80/x
  3. Step 3: Cross multiply
    488,510.40x = 733,197.60 × 288,580.80
  4. Step 4: Simplify right side
    488,510.40x = 211,586,749,966.08
  5. Step 5: Solve for x
    x = 211,586,749,966.08/488,510.40
  6. Step 6: Final answer
    x = 433,126.40

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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.