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Finding the Fourth Proportional to 346,117.64, 477,639.56 and 200,936.89

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Solution

The fourth proportional to 346,117.64, 477,639.56 and 200,936.89 is: 277,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,117.64 : 477,639.56 = 200,936.89 : x
  2. Step 2: Convert to fraction form
    346,117.64/477,639.56 = 200,936.89/x
  3. Step 3: Cross multiply
    346,117.64x = 477,639.56 × 200,936.89
  4. Step 4: Simplify right side
    346,117.64x = 95,975,406,030.93
  5. Step 5: Solve for x
    x = 95,975,406,030.93/346,117.64
  6. Step 6: Final answer
    x = 277,291.29

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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.