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Finding the Fourth Proportional to 314,261.65, 433,690.91 and 178,301.32

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Solution

The fourth proportional to 314,261.65, 433,690.91 and 178,301.32 is: 246,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,261.65 : 433,690.91 = 178,301.32 : x
  2. Step 2: Convert to fraction form
    314,261.65/433,690.91 = 178,301.32/x
  3. Step 3: Cross multiply
    314,261.65x = 433,690.91 × 178,301.32
  4. Step 4: Simplify right side
    314,261.65x = 77,327,661,725.00
  5. Step 5: Solve for x
    x = 77,327,661,725.00/314,261.65
  6. Step 6: Final answer
    x = 246,061.40

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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.