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Finding the Fourth Proportional to 712,384, 983,089.92 and 410,597.44

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Solution

The fourth proportional to 712,384, 983,089.92 and 410,597.44 is: 566,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,384 : 983,089.92 = 410,597.44 : x
  2. Step 2: Convert to fraction form
    712,384/983,089.92 = 410,597.44/x
  3. Step 3: Cross multiply
    712,384x = 983,089.92 × 410,597.44
  4. Step 4: Simplify right side
    712,384x = 403,654,204,441.81
  5. Step 5: Solve for x
    x = 403,654,204,441.81/712,384
  6. Step 6: Final answer
    x = 566,624.47

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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.