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Finding the Fourth Proportional to 712,627.65, 983,372.94 and 406,695.51

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Solution

The fourth proportional to 712,627.65, 983,372.94 and 406,695.51 is: 561,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,627.65 : 983,372.94 = 406,695.51 : x
  2. Step 2: Convert to fraction form
    712,627.65/983,372.94 = 406,695.51/x
  3. Step 3: Cross multiply
    712,627.65x = 983,372.94 × 406,695.51
  4. Step 4: Simplify right side
    712,627.65x = 399,933,359,353.50
  5. Step 5: Solve for x
    x = 399,933,359,353.50/712,627.65
  6. Step 6: Final answer
    x = 561,209.43

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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.