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Finding the Fourth Proportional to 314,303.98, 433,739.51 and 171,065.07

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Solution

The fourth proportional to 314,303.98, 433,739.51 and 171,065.07 is: 236,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,303.98 : 433,739.51 = 171,065.07 : x
  2. Step 2: Convert to fraction form
    314,303.98/433,739.51 = 171,065.07/x
  3. Step 3: Cross multiply
    314,303.98x = 433,739.51 × 171,065.07
  4. Step 4: Simplify right side
    314,303.98x = 74,197,679,639.92
  5. Step 5: Solve for x
    x = 74,197,679,639.92/314,303.98
  6. Step 6: Final answer
    x = 236,069.81

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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.