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Finding the Fourth Proportional to 598,897.80, 826,370.10 and 357,193.80

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Solution

The fourth proportional to 598,897.80, 826,370.10 and 357,193.80 is: 492,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,897.80 : 826,370.10 = 357,193.80 : x
  2. Step 2: Convert to fraction form
    598,897.80/826,370.10 = 357,193.80/x
  3. Step 3: Cross multiply
    598,897.80x = 826,370.10 × 357,193.80
  4. Step 4: Simplify right side
    598,897.80x = 295,174,276,225.38
  5. Step 5: Solve for x
    x = 295,174,276,225.38/598,897.80
  6. Step 6: Final answer
    x = 492,862.52

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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.