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Finding the Fourth Proportional to 289,849.16, 399,807.78 and 209,394.89

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Solution

The fourth proportional to 289,849.16, 399,807.78 and 209,394.89 is: 288,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,849.16 : 399,807.78 = 209,394.89 : x
  2. Step 2: Convert to fraction form
    289,849.16/399,807.78 = 209,394.89/x
  3. Step 3: Cross multiply
    289,849.16x = 399,807.78 × 209,394.89
  4. Step 4: Simplify right side
    289,849.16x = 83,717,704,115.21
  5. Step 5: Solve for x
    x = 83,717,704,115.21/289,849.16
  6. Step 6: Final answer
    x = 288,831.98

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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.