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Finding the Fourth Proportional to 313,533, 432,799.56 and 218,095.08

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Solution

The fourth proportional to 313,533, 432,799.56 and 218,095.08 is: 301,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,533 : 432,799.56 = 218,095.08 : x
  2. Step 2: Convert to fraction form
    313,533/432,799.56 = 218,095.08/x
  3. Step 3: Cross multiply
    313,533x = 432,799.56 × 218,095.08
  4. Step 4: Simplify right side
    313,533x = 94,391,454,662.16
  5. Step 5: Solve for x
    x = 94,391,454,662.16/313,533
  6. Step 6: Final answer
    x = 301,057.48

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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.