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Finding the Fourth Proportional to 317,303.10, 475,831.17 and 159,421.50

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Solution

The fourth proportional to 317,303.10, 475,831.17 and 159,421.50 is: 239,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,303.10 : 475,831.17 = 159,421.50 : x
  2. Step 2: Convert to fraction form
    317,303.10/475,831.17 = 159,421.50/x
  3. Step 3: Cross multiply
    317,303.10x = 475,831.17 × 159,421.50
  4. Step 4: Simplify right side
    317,303.10x = 75,857,718,868.16
  5. Step 5: Solve for x
    x = 75,857,718,868.16/317,303.10
  6. Step 6: Final answer
    x = 239,070.21

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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.