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Finding the Fourth Proportional to 433,315.95, 598,126.30 and 297,798.49

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Solution

The fourth proportional to 433,315.95, 598,126.30 and 297,798.49 is: 411,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,315.95 : 598,126.30 = 297,798.49 : x
  2. Step 2: Convert to fraction form
    433,315.95/598,126.30 = 297,798.49/x
  3. Step 3: Cross multiply
    433,315.95x = 598,126.30 × 297,798.49
  4. Step 4: Simplify right side
    433,315.95x = 178,121,108,969.29
  5. Step 5: Solve for x
    x = 178,121,108,969.29/433,315.95
  6. Step 6: Final answer
    x = 411,065.20

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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.