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Finding the Fourth Proportional to 314,053.70, 433,395.24 and 170,813.90

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Solution

The fourth proportional to 314,053.70, 433,395.24 and 170,813.90 is: 235,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,053.70 : 433,395.24 = 170,813.90 : x
  2. Step 2: Convert to fraction form
    314,053.70/433,395.24 = 170,813.90/x
  3. Step 3: Cross multiply
    314,053.70x = 433,395.24 × 170,813.90
  4. Step 4: Simplify right side
    314,053.70x = 74,029,931,185.84
  5. Step 5: Solve for x
    x = 74,029,931,185.84/314,053.70
  6. Step 6: Final answer
    x = 235,723.80

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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.