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Finding the Fourth Proportional to 647,416.98, 893,069.06 and 405,279.02

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Solution

The fourth proportional to 647,416.98, 893,069.06 and 405,279.02 is: 559,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,416.98 : 893,069.06 = 405,279.02 : x
  2. Step 2: Convert to fraction form
    647,416.98/893,069.06 = 405,279.02/x
  3. Step 3: Cross multiply
    647,416.98x = 893,069.06 × 405,279.02
  4. Step 4: Simplify right side
    647,416.98x = 361,942,153,429.12
  5. Step 5: Solve for x
    x = 361,942,153,429.12/647,416.98
  6. Step 6: Final answer
    x = 559,055.70

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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.