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Finding the Fourth Proportional to 314,005.92, 433,314.96 and 178,049.04

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Solution

The fourth proportional to 314,005.92, 433,314.96 and 178,049.04 is: 245,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,005.92 : 433,314.96 = 178,049.04 : x
  2. Step 2: Convert to fraction form
    314,005.92/433,314.96 = 178,049.04/x
  3. Step 3: Cross multiply
    314,005.92x = 433,314.96 × 178,049.04
  4. Step 4: Simplify right side
    314,005.92x = 77,151,312,645.64
  5. Step 5: Solve for x
    x = 77,151,312,645.64/314,005.92
  6. Step 6: Final answer
    x = 245,700.19

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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.