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Finding the Fourth Proportional to 488,314.40, 732,903.60 and 288,384.80

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Solution

The fourth proportional to 488,314.40, 732,903.60 and 288,384.80 is: 432,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,314.40 : 732,903.60 = 288,384.80 : x
  2. Step 2: Convert to fraction form
    488,314.40/732,903.60 = 288,384.80/x
  3. Step 3: Cross multiply
    488,314.40x = 732,903.60 × 288,384.80
  4. Step 4: Simplify right side
    488,314.40x = 211,358,258,105.28
  5. Step 5: Solve for x
    x = 211,358,258,105.28/488,314.40
  6. Step 6: Final answer
    x = 432,832.33

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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.