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Finding the Fourth Proportional to 313,097.83, 432,075.16 and 169,857.85

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Solution

The fourth proportional to 313,097.83, 432,075.16 and 169,857.85 is: 234,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,097.83 : 432,075.16 = 169,857.85 : x
  2. Step 2: Convert to fraction form
    313,097.83/432,075.16 = 169,857.85/x
  3. Step 3: Cross multiply
    313,097.83x = 432,075.16 × 169,857.85
  4. Step 4: Simplify right side
    313,097.83x = 73,391,357,716.01
  5. Step 5: Solve for x
    x = 73,391,357,716.01/313,097.83
  6. Step 6: Final answer
    x = 234,403.92

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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.