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Finding the Fourth Proportional to 314,686.01, 434,262.64 and 171,446.17

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Solution

The fourth proportional to 314,686.01, 434,262.64 and 171,446.17 is: 236,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,686.01 : 434,262.64 = 171,446.17 : x
  2. Step 2: Convert to fraction form
    314,686.01/434,262.64 = 171,446.17/x
  3. Step 3: Cross multiply
    314,686.01x = 434,262.64 × 171,446.17
  4. Step 4: Simplify right side
    314,686.01x = 74,452,666,505.71
  5. Step 5: Solve for x
    x = 74,452,666,505.71/314,686.01
  6. Step 6: Final answer
    x = 236,593.50

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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.