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Finding the Fourth Proportional to 390,068.40, 585,102.60 and 180,116.40

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Solution

The fourth proportional to 390,068.40, 585,102.60 and 180,116.40 is: 270,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,068.40 : 585,102.60 = 180,116.40 : x
  2. Step 2: Convert to fraction form
    390,068.40/585,102.60 = 180,116.40/x
  3. Step 3: Cross multiply
    390,068.40x = 585,102.60 × 180,116.40
  4. Step 4: Simplify right side
    390,068.40x = 105,386,573,942.64
  5. Step 5: Solve for x
    x = 105,386,573,942.64/390,068.40
  6. Step 6: Final answer
    x = 270,174.60

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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.