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Finding the Fourth Proportional to 421,482.83, 581,646.08 and 230,496.30

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Solution

The fourth proportional to 421,482.83, 581,646.08 and 230,496.30 is: 318,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,482.83 : 581,646.08 = 230,496.30 : x
  2. Step 2: Convert to fraction form
    421,482.83/581,646.08 = 230,496.30/x
  3. Step 3: Cross multiply
    421,482.83x = 581,646.08 × 230,496.30
  4. Step 4: Simplify right side
    421,482.83x = 134,067,269,925.75
  5. Step 5: Solve for x
    x = 134,067,269,925.75/421,482.83
  6. Step 6: Final answer
    x = 318,084.78

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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.