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Finding the Fourth Proportional to 712,795.16, 983,656.98 and 426,315.24

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Solution

The fourth proportional to 712,795.16, 983,656.98 and 426,315.24 is: 588,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,795.16 : 983,656.98 = 426,315.24 : x
  2. Step 2: Convert to fraction form
    712,795.16/983,656.98 = 426,315.24/x
  3. Step 3: Cross multiply
    712,795.16x = 983,656.98 × 426,315.24
  4. Step 4: Simplify right side
    712,795.16x = 419,347,961,506.38
  5. Step 5: Solve for x
    x = 419,347,961,506.38/712,795.16
  6. Step 6: Final answer
    x = 588,314.83

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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.