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Finding the Fourth Proportional to 515,809.74, 711,868.59 and 289,456.14

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Solution

The fourth proportional to 515,809.74, 711,868.59 and 289,456.14 is: 399,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,809.74 : 711,868.59 = 289,456.14 : x
  2. Step 2: Convert to fraction form
    515,809.74/711,868.59 = 289,456.14/x
  3. Step 3: Cross multiply
    515,809.74x = 711,868.59 × 289,456.14
  4. Step 4: Simplify right side
    515,809.74x = 206,054,734,248.64
  5. Step 5: Solve for x
    x = 206,054,734,248.64/515,809.74
  6. Step 6: Final answer
    x = 399,478.18

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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.