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Finding the Fourth Proportional to 314,357.08, 469,253.29 and 290,939.17

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Solution

The fourth proportional to 314,357.08, 469,253.29 and 290,939.17 is: 434,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,357.08 : 469,253.29 = 290,939.17 : x
  2. Step 2: Convert to fraction form
    314,357.08/469,253.29 = 290,939.17/x
  3. Step 3: Cross multiply
    314,357.08x = 469,253.29 × 290,939.17
  4. Step 4: Simplify right side
    314,357.08x = 136,524,162,712.37
  5. Step 5: Solve for x
    x = 136,524,162,712.37/314,357.08
  6. Step 6: Final answer
    x = 434,296.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.