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Finding the Fourth Proportional to 536,699.65, 740,650.13 and 294,987.84

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Solution

The fourth proportional to 536,699.65, 740,650.13 and 294,987.84 is: 407,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,699.65 : 740,650.13 = 294,987.84 : x
  2. Step 2: Convert to fraction form
    536,699.65/740,650.13 = 294,987.84/x
  3. Step 3: Cross multiply
    536,699.65x = 740,650.13 × 294,987.84
  4. Step 4: Simplify right side
    536,699.65x = 218,482,782,044.42
  5. Step 5: Solve for x
    x = 218,482,782,044.42/536,699.65
  6. Step 6: Final answer
    x = 407,085.75

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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.