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Finding the Fourth Proportional to 459,033.80, 688,550.70 and 317,316.20

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Solution

The fourth proportional to 459,033.80, 688,550.70 and 317,316.20 is: 475,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,033.80 : 688,550.70 = 317,316.20 : x
  2. Step 2: Convert to fraction form
    459,033.80/688,550.70 = 317,316.20/x
  3. Step 3: Cross multiply
    459,033.80x = 688,550.70 × 317,316.20
  4. Step 4: Simplify right side
    459,033.80x = 218,488,291,631.34
  5. Step 5: Solve for x
    x = 218,488,291,631.34/459,033.80
  6. Step 6: Final answer
    x = 475,974.30

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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.