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Finding the Fourth Proportional to 524,084.42, 723,262.14 and 294,713.89

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Solution

The fourth proportional to 524,084.42, 723,262.14 and 294,713.89 is: 406,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,084.42 : 723,262.14 = 294,713.89 : x
  2. Step 2: Convert to fraction form
    524,084.42/723,262.14 = 294,713.89/x
  3. Step 3: Cross multiply
    524,084.42x = 723,262.14 × 294,713.89
  4. Step 4: Simplify right side
    524,084.42x = 213,155,398,769.13
  5. Step 5: Solve for x
    x = 213,155,398,769.13/524,084.42
  6. Step 6: Final answer
    x = 406,719.59

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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.