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Finding the Fourth Proportional to 354,907.96, 532,457.70 and 155,246.20

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Solution

The fourth proportional to 354,907.96, 532,457.70 and 155,246.20 is: 232,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,907.96 : 532,457.70 = 155,246.20 : x
  2. Step 2: Convert to fraction form
    354,907.96/532,457.70 = 155,246.20/x
  3. Step 3: Cross multiply
    354,907.96x = 532,457.70 × 155,246.20
  4. Step 4: Simplify right side
    354,907.96x = 82,662,034,585.74
  5. Step 5: Solve for x
    x = 82,662,034,585.74/354,907.96
  6. Step 6: Final answer
    x = 232,911.19

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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.