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Finding the Fourth Proportional to 570,707.42, 856,072.04 and 186,457.34

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Solution

The fourth proportional to 570,707.42, 856,072.04 and 186,457.34 is: 279,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,707.42 : 856,072.04 = 186,457.34 : x
  2. Step 2: Convert to fraction form
    570,707.42/856,072.04 = 186,457.34/x
  3. Step 3: Cross multiply
    570,707.42x = 856,072.04 × 186,457.34
  4. Step 4: Simplify right side
    570,707.42x = 159,620,910,214.13
  5. Step 5: Solve for x
    x = 159,620,910,214.13/570,707.42
  6. Step 6: Final answer
    x = 279,689.57

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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.