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Finding the Fourth Proportional to 314,006.60, 471,009.90 and 243,936.20

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Solution

The fourth proportional to 314,006.60, 471,009.90 and 243,936.20 is: 365,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,006.60 : 471,009.90 = 243,936.20 : x
  2. Step 2: Convert to fraction form
    314,006.60/471,009.90 = 243,936.20/x
  3. Step 3: Cross multiply
    314,006.60x = 471,009.90 × 243,936.20
  4. Step 4: Simplify right side
    314,006.60x = 114,896,365,168.38
  5. Step 5: Solve for x
    x = 114,896,365,168.38/314,006.60
  6. Step 6: Final answer
    x = 365,904.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.