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Finding the Fourth Proportional to 317,316, 475,975.48 and 106,955.76

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Solution

The fourth proportional to 317,316, 475,975.48 and 106,955.76 is: 160,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,316 : 475,975.48 = 106,955.76 : x
  2. Step 2: Convert to fraction form
    317,316/475,975.48 = 106,955.76/x
  3. Step 3: Cross multiply
    317,316x = 475,975.48 × 106,955.76
  4. Step 4: Simplify right side
    317,316x = 50,908,319,204.76
  5. Step 5: Solve for x
    x = 50,908,319,204.76/317,316
  6. Step 6: Final answer
    x = 160,434.14

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1.5x scale

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.