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Finding the Fourth Proportional to 441,178.32, 609,032.52 and 282,294.48

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Solution

The fourth proportional to 441,178.32, 609,032.52 and 282,294.48 is: 389,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,178.32 : 609,032.52 = 282,294.48 : x
  2. Step 2: Convert to fraction form
    441,178.32/609,032.52 = 282,294.48/x
  3. Step 3: Cross multiply
    441,178.32x = 609,032.52 × 282,294.48
  4. Step 4: Simplify right side
    441,178.32x = 171,926,518,536.49
  5. Step 5: Solve for x
    x = 171,926,518,536.49/441,178.32
  6. Step 6: Final answer
    x = 389,698.48

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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.