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Finding the Fourth Proportional to 366,820.67, 506,206.10 and 205,675.22

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Solution

The fourth proportional to 366,820.67, 506,206.10 and 205,675.22 is: 283,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,820.67 : 506,206.10 = 205,675.22 : x
  2. Step 2: Convert to fraction form
    366,820.67/506,206.10 = 205,675.22/x
  3. Step 3: Cross multiply
    366,820.67x = 506,206.10 × 205,675.22
  4. Step 4: Simplify right side
    366,820.67x = 104,114,047,423.44
  5. Step 5: Solve for x
    x = 104,114,047,423.44/366,820.67
  6. Step 6: Final answer
    x = 283,828.20

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1.5x scale

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.