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Finding the Fourth Proportional to 712,730.88, 983,294.64 and 406,824.30

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Solution

The fourth proportional to 712,730.88, 983,294.64 and 406,824.30 is: 561,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,730.88 : 983,294.64 = 406,824.30 : x
  2. Step 2: Convert to fraction form
    712,730.88/983,294.64 = 406,824.30/x
  3. Step 3: Cross multiply
    712,730.88x = 983,294.64 × 406,824.30
  4. Step 4: Simplify right side
    712,730.88x = 400,028,153,611.75
  5. Step 5: Solve for x
    x = 400,028,153,611.75/712,730.88
  6. Step 6: Final answer
    x = 561,261.15

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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.