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Finding the Fourth Proportional to 294,728.14, 406,724.84 and 160,592.14

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Solution

The fourth proportional to 294,728.14, 406,724.84 and 160,592.14 is: 221,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,728.14 : 406,724.84 = 160,592.14 : x
  2. Step 2: Convert to fraction form
    294,728.14/406,724.84 = 160,592.14/x
  3. Step 3: Cross multiply
    294,728.14x = 406,724.84 × 160,592.14
  4. Step 4: Simplify right side
    294,728.14x = 65,316,812,446.76
  5. Step 5: Solve for x
    x = 65,316,812,446.76/294,728.14
  6. Step 6: Final answer
    x = 221,617.16

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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.