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Finding the Fourth Proportional to 614,134.12, 847,492.32 and 342,200.92

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Solution

The fourth proportional to 614,134.12, 847,492.32 and 342,200.92 is: 472,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,134.12 : 847,492.32 = 342,200.92 : x
  2. Step 2: Convert to fraction form
    614,134.12/847,492.32 = 342,200.92/x
  3. Step 3: Cross multiply
    614,134.12x = 847,492.32 × 342,200.92
  4. Step 4: Simplify right side
    614,134.12x = 290,012,651,596.93
  5. Step 5: Solve for x
    x = 290,012,651,596.93/614,134.12
  6. Step 6: Final answer
    x = 472,230.16

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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.