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Finding the Fourth Proportional to 315,175, 434,941.50 and 171,935.62

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Solution

The fourth proportional to 315,175, 434,941.50 and 171,935.62 is: 237,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175 : 434,941.50 = 171,935.62 : x
  2. Step 2: Convert to fraction form
    315,175/434,941.50 = 171,935.62/x
  3. Step 3: Cross multiply
    315,175x = 434,941.50 × 171,935.62
  4. Step 4: Simplify right side
    315,175x = 74,781,936,466.23
  5. Step 5: Solve for x
    x = 74,781,936,466.23/315,175
  6. Step 6: Final answer
    x = 237,271.16

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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.