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Finding the Fourth Proportional to 569,605.65, 786,056 and 324,583.40

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Solution

The fourth proportional to 569,605.65, 786,056 and 324,583.40 is: 447,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,605.65 : 786,056 = 324,583.40 : x
  2. Step 2: Convert to fraction form
    569,605.65/786,056 = 324,583.40/x
  3. Step 3: Cross multiply
    569,605.65x = 786,056 × 324,583.40
  4. Step 4: Simplify right side
    569,605.65x = 255,140,729,070.40
  5. Step 5: Solve for x
    x = 255,140,729,070.40/569,605.65
  6. Step 6: Final answer
    x = 447,925.21

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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.