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Finding the Fourth Proportional to 423,524.09, 584,461.55 and 242,235.77

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Solution

The fourth proportional to 423,524.09, 584,461.55 and 242,235.77 is: 334,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,524.09 : 584,461.55 = 242,235.77 : x
  2. Step 2: Convert to fraction form
    423,524.09/584,461.55 = 242,235.77/x
  3. Step 3: Cross multiply
    423,524.09x = 584,461.55 × 242,235.77
  4. Step 4: Simplify right side
    423,524.09x = 141,577,490,601.64
  5. Step 5: Solve for x
    x = 141,577,490,601.64/423,524.09
  6. Step 6: Final answer
    x = 334,284.38

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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.