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Finding the Fourth Proportional to 346,141.84, 477,681.96 and 203,005.12

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Solution

The fourth proportional to 346,141.84, 477,681.96 and 203,005.12 is: 280,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,141.84 : 477,681.96 = 203,005.12 : x
  2. Step 2: Convert to fraction form
    346,141.84/477,681.96 = 203,005.12/x
  3. Step 3: Cross multiply
    346,141.84x = 477,681.96 × 203,005.12
  4. Step 4: Simplify right side
    346,141.84x = 96,971,883,611.64
  5. Step 5: Solve for x
    x = 96,971,883,611.64/346,141.84
  6. Step 6: Final answer
    x = 280,150.71

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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.