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Finding the Fourth Proportional to 317,596.14, 438,303.96 and 209,981.16

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Solution

The fourth proportional to 317,596.14, 438,303.96 and 209,981.16 is: 289,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,596.14 : 438,303.96 = 209,981.16 : x
  2. Step 2: Convert to fraction form
    317,596.14/438,303.96 = 209,981.16/x
  3. Step 3: Cross multiply
    317,596.14x = 438,303.96 × 209,981.16
  4. Step 4: Simplify right side
    317,596.14x = 92,035,573,953.39
  5. Step 5: Solve for x
    x = 92,035,573,953.39/317,596.14
  6. Step 6: Final answer
    x = 289,788.07

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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.