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Finding the Fourth Proportional to 406,084.30, 560,208.63 and 262,890.70

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Solution

The fourth proportional to 406,084.30, 560,208.63 and 262,890.70 is: 362,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,084.30 : 560,208.63 = 262,890.70 : x
  2. Step 2: Convert to fraction form
    406,084.30/560,208.63 = 262,890.70/x
  3. Step 3: Cross multiply
    406,084.30x = 560,208.63 × 262,890.70
  4. Step 4: Simplify right side
    406,084.30x = 147,273,638,886.74
  5. Step 5: Solve for x
    x = 147,273,638,886.74/406,084.30
  6. Step 6: Final answer
    x = 362,667.65

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1.5x scale

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.