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Finding the Fourth Proportional to 498,567.22, 688,072.53 and 297,363.22

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Solution

The fourth proportional to 498,567.22, 688,072.53 and 297,363.22 is: 410,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,567.22 : 688,072.53 = 297,363.22 : x
  2. Step 2: Convert to fraction form
    498,567.22/688,072.53 = 297,363.22/x
  3. Step 3: Cross multiply
    498,567.22x = 688,072.53 × 297,363.22
  4. Step 4: Simplify right side
    498,567.22x = 204,607,463,114.35
  5. Step 5: Solve for x
    x = 204,607,463,114.35/498,567.22
  6. Step 6: Final answer
    x = 410,390.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.