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Finding the Fourth Proportional to 406,308, 560,518.98 and 263,114.16

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Solution

The fourth proportional to 406,308, 560,518.98 and 263,114.16 is: 362,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,308 : 560,518.98 = 263,114.16 : x
  2. Step 2: Convert to fraction form
    406,308/560,518.98 = 263,114.16/x
  3. Step 3: Cross multiply
    406,308x = 560,518.98 × 263,114.16
  4. Step 4: Simplify right side
    406,308x = 147,480,480,586.76
  5. Step 5: Solve for x
    x = 147,480,480,586.76/406,308
  6. Step 6: Final answer
    x = 362,977.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.