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Finding the Fourth Proportional to 559,578.24, 839,597.88 and 410,578.16

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Solution

The fourth proportional to 559,578.24, 839,597.88 and 410,578.16 is: 616,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,578.24 : 839,597.88 = 410,578.16 : x
  2. Step 2: Convert to fraction form
    559,578.24/839,597.88 = 410,578.16/x
  3. Step 3: Cross multiply
    559,578.24x = 839,597.88 × 410,578.16
  4. Step 4: Simplify right side
    559,578.24x = 344,720,552,710.30
  5. Step 5: Solve for x
    x = 344,720,552,710.30/559,578.24
  6. Step 6: Final answer
    x = 616,036.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.