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Finding the Fourth Proportional to 473,059, 652,821.42 and 322,419.16

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Solution

The fourth proportional to 473,059, 652,821.42 and 322,419.16 is: 444,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,059 : 652,821.42 = 322,419.16 : x
  2. Step 2: Convert to fraction form
    473,059/652,821.42 = 322,419.16/x
  3. Step 3: Cross multiply
    473,059x = 652,821.42 × 322,419.16
  4. Step 4: Simplify right side
    473,059x = 210,482,133,866.41
  5. Step 5: Solve for x
    x = 210,482,133,866.41/473,059
  6. Step 6: Final answer
    x = 444,938.44

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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.