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Finding the Fourth Proportional to 516,934.93, 713,264.80 and 302,033.50

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Solution

The fourth proportional to 516,934.93, 713,264.80 and 302,033.50 is: 416,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,934.93 : 713,264.80 = 302,033.50 : x
  2. Step 2: Convert to fraction form
    516,934.93/713,264.80 = 302,033.50/x
  3. Step 3: Cross multiply
    516,934.93x = 713,264.80 × 302,033.50
  4. Step 4: Simplify right side
    516,934.93x = 215,429,863,970.80
  5. Step 5: Solve for x
    x = 215,429,863,970.80/516,934.93
  6. Step 6: Final answer
    x = 416,744.65

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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.