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Finding the Fourth Proportional to 314,075.98, 433,426.13 and 170,836.90

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Solution

The fourth proportional to 314,075.98, 433,426.13 and 170,836.90 is: 235,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,075.98 : 433,426.13 = 170,836.90 : x
  2. Step 2: Convert to fraction form
    314,075.98/433,426.13 = 170,836.90/x
  3. Step 3: Cross multiply
    314,075.98x = 433,426.13 × 170,836.90
  4. Step 4: Simplify right side
    314,075.98x = 74,045,176,428.20
  5. Step 5: Solve for x
    x = 74,045,176,428.20/314,075.98
  6. Step 6: Final answer
    x = 235,755.62

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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.