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Finding the Fourth Proportional to 596,328.96, 822,949 and 324,412.16

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Solution

The fourth proportional to 596,328.96, 822,949 and 324,412.16 is: 447,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,328.96 : 822,949 = 324,412.16 : x
  2. Step 2: Convert to fraction form
    596,328.96/822,949 = 324,412.16/x
  3. Step 3: Cross multiply
    596,328.96x = 822,949 × 324,412.16
  4. Step 4: Simplify right side
    596,328.96x = 266,974,662,659.84
  5. Step 5: Solve for x
    x = 266,974,662,659.84/596,328.96
  6. Step 6: Final answer
    x = 447,696.96

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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.