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Finding the Fourth Proportional to 471,684.12, 651,328.62 and 456,432.24

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Solution

The fourth proportional to 471,684.12, 651,328.62 and 456,432.24 is: 630,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,684.12 : 651,328.62 = 456,432.24 : x
  2. Step 2: Convert to fraction form
    471,684.12/651,328.62 = 456,432.24/x
  3. Step 3: Cross multiply
    471,684.12x = 651,328.62 × 456,432.24
  4. Step 4: Simplify right side
    471,684.12x = 297,287,381,002.71
  5. Step 5: Solve for x
    x = 297,287,381,002.71/471,684.12
  6. Step 6: Final answer
    x = 630,267.95

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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.