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Finding the Fourth Proportional to 459,953.80, 689,930.70 and 160,334.80

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Solution

The fourth proportional to 459,953.80, 689,930.70 and 160,334.80 is: 240,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,953.80 : 689,930.70 = 160,334.80 : x
  2. Step 2: Convert to fraction form
    459,953.80/689,930.70 = 160,334.80/x
  3. Step 3: Cross multiply
    459,953.80x = 689,930.70 × 160,334.80
  4. Step 4: Simplify right side
    459,953.80x = 110,619,900,798.36
  5. Step 5: Solve for x
    x = 110,619,900,798.36/459,953.80
  6. Step 6: Final answer
    x = 240,502.20

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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.