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Finding the Fourth Proportional to 310,715.73, 465,071.22 and 160,749.50

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Solution

The fourth proportional to 310,715.73, 465,071.22 and 160,749.50 is: 240,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,715.73 : 465,071.22 = 160,749.50 : x
  2. Step 2: Convert to fraction form
    310,715.73/465,071.22 = 160,749.50/x
  3. Step 3: Cross multiply
    310,715.73x = 465,071.22 × 160,749.50
  4. Step 4: Simplify right side
    310,715.73x = 74,759,963,754.03
  5. Step 5: Solve for x
    x = 74,759,963,754.03/310,715.73
  6. Step 6: Final answer
    x = 240,605.66

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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.