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Finding the Fourth Proportional to 656,164.17, 905,506.47 and 354,358.17

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Solution

The fourth proportional to 656,164.17, 905,506.47 and 354,358.17 is: 489,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,164.17 : 905,506.47 = 354,358.17 : x
  2. Step 2: Convert to fraction form
    656,164.17/905,506.47 = 354,358.17/x
  3. Step 3: Cross multiply
    656,164.17x = 905,506.47 × 354,358.17
  4. Step 4: Simplify right side
    656,164.17x = 320,873,615,632.36
  5. Step 5: Solve for x
    x = 320,873,615,632.36/656,164.17
  6. Step 6: Final answer
    x = 489,014.23

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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.