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Finding the Fourth Proportional to 317,106, 475,323.84 and 117,298.08

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Solution

The fourth proportional to 317,106, 475,323.84 and 117,298.08 is: 175,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,106 : 475,323.84 = 117,298.08 : x
  2. Step 2: Convert to fraction form
    317,106/475,323.84 = 117,298.08/x
  3. Step 3: Cross multiply
    317,106x = 475,323.84 × 117,298.08
  4. Step 4: Simplify right side
    317,106x = 55,754,573,810.23
  5. Step 5: Solve for x
    x = 55,754,573,810.23/317,106
  6. Step 6: Final answer
    x = 175,823.14

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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.