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Finding the Fourth Proportional to 306,970.34, 460,434.12 and 114,808.16

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Solution

The fourth proportional to 306,970.34, 460,434.12 and 114,808.16 is: 172,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,970.34 : 460,434.12 = 114,808.16 : x
  2. Step 2: Convert to fraction form
    306,970.34/460,434.12 = 114,808.16/x
  3. Step 3: Cross multiply
    306,970.34x = 460,434.12 × 114,808.16
  4. Step 4: Simplify right side
    306,970.34x = 52,861,594,118.42
  5. Step 5: Solve for x
    x = 52,861,594,118.42/306,970.34
  6. Step 6: Final answer
    x = 172,204.24

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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.