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Finding the Fourth Proportional to 301,715.57, 416,321.23 and 174,366.59

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Solution

The fourth proportional to 301,715.57, 416,321.23 and 174,366.59 is: 240,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,715.57 : 416,321.23 = 174,366.59 : x
  2. Step 2: Convert to fraction form
    301,715.57/416,321.23 = 174,366.59/x
  3. Step 3: Cross multiply
    301,715.57x = 416,321.23 × 174,366.59
  4. Step 4: Simplify right side
    301,715.57x = 72,592,513,219.71
  5. Step 5: Solve for x
    x = 72,592,513,219.71/301,715.57
  6. Step 6: Final answer
    x = 240,599.16

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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.