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Finding the Fourth Proportional to 314,074.98, 433,424.75 and 170,835.90

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Solution

The fourth proportional to 314,074.98, 433,424.75 and 170,835.90 is: 235,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,074.98 : 433,424.75 = 170,835.90 : x
  2. Step 2: Convert to fraction form
    314,074.98/433,424.75 = 170,835.90/x
  3. Step 3: Cross multiply
    314,074.98x = 433,424.75 × 170,835.90
  4. Step 4: Simplify right side
    314,074.98x = 74,044,507,248.53
  5. Step 5: Solve for x
    x = 74,044,507,248.53/314,074.98
  6. Step 6: Final answer
    x = 235,754.24

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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.