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Finding the Fourth Proportional to 561,075.93, 841,723.70 and 206,092.71

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Solution

The fourth proportional to 561,075.93, 841,723.70 and 206,092.71 is: 309,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,075.93 : 841,723.70 = 206,092.71 : x
  2. Step 2: Convert to fraction form
    561,075.93/841,723.70 = 206,092.71/x
  3. Step 3: Cross multiply
    561,075.93x = 841,723.70 × 206,092.71
  4. Step 4: Simplify right side
    561,075.93x = 173,473,117,373.76
  5. Step 5: Solve for x
    x = 173,473,117,373.76/561,075.93
  6. Step 6: Final answer
    x = 309,179.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.