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Finding the Fourth Proportional to 435,897.16, 601,806.45 and 345,617.80

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Solution

The fourth proportional to 435,897.16, 601,806.45 and 345,617.80 is: 477,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,897.16 : 601,806.45 = 345,617.80 : x
  2. Step 2: Convert to fraction form
    435,897.16/601,806.45 = 345,617.80/x
  3. Step 3: Cross multiply
    435,897.16x = 601,806.45 × 345,617.80
  4. Step 4: Simplify right side
    435,897.16x = 207,995,021,274.81
  5. Step 5: Solve for x
    x = 207,995,021,274.81/435,897.16
  6. Step 6: Final answer
    x = 477,165.35

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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.