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Finding the Fourth Proportional to 471,659.15, 651,294.19 and 456,407.31

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Solution

The fourth proportional to 471,659.15, 651,294.19 and 456,407.31 is: 630,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,659.15 : 651,294.19 = 456,407.31 : x
  2. Step 2: Convert to fraction form
    471,659.15/651,294.19 = 456,407.31/x
  3. Step 3: Cross multiply
    471,659.15x = 651,294.19 × 456,407.31
  4. Step 4: Simplify right side
    471,659.15x = 297,255,429,276.53
  5. Step 5: Solve for x
    x = 297,255,429,276.53/471,659.15
  6. Step 6: Final answer
    x = 630,233.57

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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.