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Finding the Fourth Proportional to 732,293, 1,010,579.70 and 414,341

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Solution

The fourth proportional to 732,293, 1,010,579.70 and 414,341 is: 571,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,293 : 1,010,579.70 = 414,341 : x
  2. Step 2: Convert to fraction form
    732,293/1,010,579.70 = 414,341/x
  3. Step 3: Cross multiply
    732,293x = 1,010,579.70 × 414,341
  4. Step 4: Simplify right side
    732,293x = 418,724,603,477.70
  5. Step 5: Solve for x
    x = 418,724,603,477.70/732,293
  6. Step 6: Final answer
    x = 571,799.27

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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.