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Finding the Fourth Proportional to 598,605, 826,075.98 and 330,333

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Solution

The fourth proportional to 598,605, 826,075.98 and 330,333 is: 455,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,605 : 826,075.98 = 330,333 : x
  2. Step 2: Convert to fraction form
    598,605/826,075.98 = 330,333/x
  3. Step 3: Cross multiply
    598,605x = 826,075.98 × 330,333
  4. Step 4: Simplify right side
    598,605x = 272,880,156,701.34
  5. Step 5: Solve for x
    x = 272,880,156,701.34/598,605
  6. Step 6: Final answer
    x = 455,860.14

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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.