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Finding the Fourth Proportional to 294,436.19, 406,322.00 and 160,300.19

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Solution

The fourth proportional to 294,436.19, 406,322.00 and 160,300.19 is: 221,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,436.19 : 406,322.00 = 160,300.19 : x
  2. Step 2: Convert to fraction form
    294,436.19/406,322.00 = 160,300.19/x
  3. Step 3: Cross multiply
    294,436.19x = 406,322.00 × 160,300.19
  4. Step 4: Simplify right side
    294,436.19x = 65,133,492,170.32
  5. Step 5: Solve for x
    x = 65,133,492,170.32/294,436.19
  6. Step 6: Final answer
    x = 221,214.29

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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.