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Finding the Fourth Proportional to 491,984.24, 738,209.64 and 292,698.32

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Solution

The fourth proportional to 491,984.24, 738,209.64 and 292,698.32 is: 439,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,984.24 : 738,209.64 = 292,698.32 : x
  2. Step 2: Convert to fraction form
    491,984.24/738,209.64 = 292,698.32/x
  3. Step 3: Cross multiply
    491,984.24x = 738,209.64 × 292,698.32
  4. Step 4: Simplify right side
    491,984.24x = 216,072,721,435.81
  5. Step 5: Solve for x
    x = 216,072,721,435.81/491,984.24
  6. Step 6: Final answer
    x = 439,186.27

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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.