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Finding the Fourth Proportional to 466,496.72, 700,084.92 and 186,094.16

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Solution

The fourth proportional to 466,496.72, 700,084.92 and 186,094.16 is: 279,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,496.72 : 700,084.92 = 186,094.16 : x
  2. Step 2: Convert to fraction form
    466,496.72/700,084.92 = 186,094.16/x
  3. Step 3: Cross multiply
    466,496.72x = 700,084.92 × 186,094.16
  4. Step 4: Simplify right side
    466,496.72x = 130,281,715,116.07
  5. Step 5: Solve for x
    x = 130,281,715,116.07/466,496.72
  6. Step 6: Final answer
    x = 279,276.81

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Why These Related Problems?

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