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Finding the Fourth Proportional to 343,464.16, 473,741.04 and 331,903.84

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Solution

The fourth proportional to 343,464.16, 473,741.04 and 331,903.84 is: 457,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464.16 : 473,741.04 = 331,903.84 : x
  2. Step 2: Convert to fraction form
    343,464.16/473,741.04 = 331,903.84/x
  3. Step 3: Cross multiply
    343,464.16x = 473,741.04 × 331,903.84
  4. Step 4: Simplify right side
    343,464.16x = 157,236,470,341.59
  5. Step 5: Solve for x
    x = 157,236,470,341.59/343,464.16
  6. Step 6: Final answer
    x = 457,795.86

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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.