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Finding the Fourth Proportional to 314,246.63, 433,707.06 and 185,143.83

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Solution

The fourth proportional to 314,246.63, 433,707.06 and 185,143.83 is: 255,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,246.63 : 433,707.06 = 185,143.83 : x
  2. Step 2: Convert to fraction form
    314,246.63/433,707.06 = 185,143.83/x
  3. Step 3: Cross multiply
    314,246.63x = 433,707.06 × 185,143.83
  4. Step 4: Simplify right side
    314,246.63x = 80,298,186,186.44
  5. Step 5: Solve for x
    x = 80,298,186,186.44/314,246.63
  6. Step 6: Final answer
    x = 255,526.01

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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.