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Finding the Fourth Proportional to 517,000.96, 713,169.92 and 302,095.36

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Solution

The fourth proportional to 517,000.96, 713,169.92 and 302,095.36 is: 416,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,000.96 : 713,169.92 = 302,095.36 : x
  2. Step 2: Convert to fraction form
    517,000.96/713,169.92 = 302,095.36/x
  3. Step 3: Cross multiply
    517,000.96x = 713,169.92 × 302,095.36
  4. Step 4: Simplify right side
    517,000.96x = 215,445,323,723.57
  5. Step 5: Solve for x
    x = 215,445,323,723.57/517,000.96
  6. Step 6: Final answer
    x = 416,721.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.