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Finding the Fourth Proportional to 399,632.29, 598,931.71 and 299,002.95

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Solution

The fourth proportional to 399,632.29, 598,931.71 and 299,002.95 is: 448,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,632.29 : 598,931.71 = 299,002.95 : x
  2. Step 2: Convert to fraction form
    399,632.29/598,931.71 = 299,002.95/x
  3. Step 3: Cross multiply
    399,632.29x = 598,931.71 × 299,002.95
  4. Step 4: Simplify right side
    399,632.29x = 179,082,347,391.04
  5. Step 5: Solve for x
    x = 179,082,347,391.04/399,632.29
  6. Step 6: Final answer
    x = 448,117.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.