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Finding the Fourth Proportional to 295,636.47, 407,978.70 and 168,312.06

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Solution

The fourth proportional to 295,636.47, 407,978.70 and 168,312.06 is: 232,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,636.47 : 407,978.70 = 168,312.06 : x
  2. Step 2: Convert to fraction form
    295,636.47/407,978.70 = 168,312.06/x
  3. Step 3: Cross multiply
    295,636.47x = 407,978.70 × 168,312.06
  4. Step 4: Simplify right side
    295,636.47x = 68,667,735,433.12
  5. Step 5: Solve for x
    x = 68,667,735,433.12/295,636.47
  6. Step 6: Final answer
    x = 232,270.85

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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.