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Finding the Fourth Proportional to 657,436, 907,262.54 and 355,630

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Solution

The fourth proportional to 657,436, 907,262.54 and 355,630 is: 490,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,436 : 907,262.54 = 355,630 : x
  2. Step 2: Convert to fraction form
    657,436/907,262.54 = 355,630/x
  3. Step 3: Cross multiply
    657,436x = 907,262.54 × 355,630
  4. Step 4: Simplify right side
    657,436x = 322,649,777,100.20
  5. Step 5: Solve for x
    x = 322,649,777,100.20/657,436
  6. Step 6: Final answer
    x = 490,769.87

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