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Finding the Fourth Proportional to 314,314.65, 433,754.16 and 171,075.74

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Solution

The fourth proportional to 314,314.65, 433,754.16 and 171,075.74 is: 236,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,314.65 : 433,754.16 = 171,075.74 : x
  2. Step 2: Convert to fraction form
    314,314.65/433,754.16 = 171,075.74/x
  3. Step 3: Cross multiply
    314,314.65x = 433,754.16 × 171,075.74
  4. Step 4: Simplify right side
    314,314.65x = 74,204,811,731.31
  5. Step 5: Solve for x
    x = 74,204,811,731.31/314,314.65
  6. Step 6: Final answer
    x = 236,084.48

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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.