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Finding the Fourth Proportional to 712,778.12, 983,608.02 and 406,870.28

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Solution

The fourth proportional to 712,778.12, 983,608.02 and 406,870.28 is: 561,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,778.12 : 983,608.02 = 406,870.28 : x
  2. Step 2: Convert to fraction form
    712,778.12/983,608.02 = 406,870.28/x
  3. Step 3: Cross multiply
    712,778.12x = 983,608.02 × 406,870.28
  4. Step 4: Simplify right side
    712,778.12x = 400,200,870,507.65
  5. Step 5: Solve for x
    x = 400,200,870,507.65/712,778.12
  6. Step 6: Final answer
    x = 561,466.27

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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.