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Finding the Fourth Proportional to 732,306, 1,010,597.64 and 414,354

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Solution

The fourth proportional to 732,306, 1,010,597.64 and 414,354 is: 571,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,306 : 1,010,597.64 = 414,354 : x
  2. Step 2: Convert to fraction form
    732,306/1,010,597.64 = 414,354/x
  3. Step 3: Cross multiply
    732,306x = 1,010,597.64 × 414,354
  4. Step 4: Simplify right side
    732,306x = 418,745,174,524.56
  5. Step 5: Solve for x
    x = 418,745,174,524.56/732,306
  6. Step 6: Final answer
    x = 571,817.21

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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.