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Finding the Fourth Proportional to 712,567.92, 983,359.64 and 406,638.21

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Solution

The fourth proportional to 712,567.92, 983,359.64 and 406,638.21 is: 561,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,567.92 : 983,359.64 = 406,638.21 : x
  2. Step 2: Convert to fraction form
    712,567.92/983,359.64 = 406,638.21/x
  3. Step 3: Cross multiply
    712,567.92x = 983,359.64 × 406,638.21
  4. Step 4: Simplify right side
    712,567.92x = 399,871,601,762.65
  5. Step 5: Solve for x
    x = 399,871,601,762.65/712,567.92
  6. Step 6: Final answer
    x = 561,169.81

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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.