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Finding the Fourth Proportional to 434,319.80, 650,097.30 and 309,903.80

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Solution

The fourth proportional to 434,319.80, 650,097.30 and 309,903.80 is: 463,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,319.80 : 650,097.30 = 309,903.80 : x
  2. Step 2: Convert to fraction form
    434,319.80/650,097.30 = 309,903.80/x
  3. Step 3: Cross multiply
    434,319.80x = 650,097.30 × 309,903.80
  4. Step 4: Simplify right side
    434,319.80x = 201,467,623,639.74
  5. Step 5: Solve for x
    x = 201,467,623,639.74/434,319.80
  6. Step 6: Final answer
    x = 463,869.30

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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.