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Finding the Fourth Proportional to 296,332, 408,938.13 and 160,365.94

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Solution

The fourth proportional to 296,332, 408,938.13 and 160,365.94 is: 221,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,332 : 408,938.13 = 160,365.94 : x
  2. Step 2: Convert to fraction form
    296,332/408,938.13 = 160,365.94/x
  3. Step 3: Cross multiply
    296,332x = 408,938.13 × 160,365.94
  4. Step 4: Simplify right side
    296,332x = 65,579,747,619.29
  5. Step 5: Solve for x
    x = 65,579,747,619.29/296,332
  6. Step 6: Final answer
    x = 221,304.98

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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.