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Finding the Fourth Proportional to 712,515.64, 983,252.28 and 406,586.38

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Solution

The fourth proportional to 712,515.64, 983,252.28 and 406,586.38 is: 561,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,515.64 : 983,252.28 = 406,586.38 : x
  2. Step 2: Convert to fraction form
    712,515.64/983,252.28 = 406,586.38/x
  3. Step 3: Cross multiply
    712,515.64x = 983,252.28 × 406,586.38
  4. Step 4: Simplify right side
    712,515.64x = 399,776,985,151.95
  5. Step 5: Solve for x
    x = 399,776,985,151.95/712,515.64
  6. Step 6: Final answer
    x = 561,078.19

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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.