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Finding the Fourth Proportional to 466,814.10, 700,221.15 and 456,446.10

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Solution

The fourth proportional to 466,814.10, 700,221.15 and 456,446.10 is: 684,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,814.10 : 700,221.15 = 456,446.10 : x
  2. Step 2: Convert to fraction form
    466,814.10/700,221.15 = 456,446.10/x
  3. Step 3: Cross multiply
    466,814.10x = 700,221.15 × 456,446.10
  4. Step 4: Simplify right side
    466,814.10x = 319,613,213,055.02
  5. Step 5: Solve for x
    x = 319,613,213,055.02/466,814.10
  6. Step 6: Final answer
    x = 684,669.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.