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Finding the Fourth Proportional to 390,664, 539,116.32 and 211,816

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Solution

The fourth proportional to 390,664, 539,116.32 and 211,816 is: 292,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,664 : 539,116.32 = 211,816 : x
  2. Step 2: Convert to fraction form
    390,664/539,116.32 = 211,816/x
  3. Step 3: Cross multiply
    390,664x = 539,116.32 × 211,816
  4. Step 4: Simplify right side
    390,664x = 114,193,462,437.12
  5. Step 5: Solve for x
    x = 114,193,462,437.12/390,664
  6. Step 6: Final answer
    x = 292,306.08

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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.